Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
30.a6 |
30a2 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$4$ |
$-0.331714$ |
$702595369/72900$ |
$[1, 0, 1, -19, 26]$ |
\(y^2+xy+y=x^3-19x+26\) |
90.c3 |
90c6 |
90.c |
90c |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$96$ |
$0.766898$ |
$4102915888729/9000000$ |
$[1, -1, 1, -3002, 63929]$ |
\(y^2+xy+y=x^3-x^2-3002x+63929\) |
90.c7 |
90c3 |
90.c |
90c |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$11$ |
$48$ |
$0.420325$ |
$-273359449/1536000$ |
$[1, -1, 1, -122, 1721]$ |
\(y^2+xy+y=x^3-x^2-122x+1721\) |
210.b6 |
210b2 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$192$ |
$0.606385$ |
$21302308926361/8930250000$ |
$[1, 0, 1, -578, 2756]$ |
\(y^2+xy+y=x^3-578x+2756\) |
210.b8 |
210b5 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$384$ |
$0.952959$ |
$785793873833639/637994920500$ |
$[1, 0, 1, 1922, 20756]$ |
\(y^2+xy+y=x^3+1922x+20756\) |
210.d5 |
210a2 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$96$ |
$0.303146$ |
$5203798902289/57153600$ |
$[1, 0, 0, -361, 2585]$ |
\(y^2+xy=x^3-361x+2585\) |
630.f3 |
630f6 |
630.f |
630f |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$2304$ |
$1.401758$ |
$2179252305146449/66177562500$ |
$[1, -1, 0, -24309, 1426113]$ |
\(y^2+xy=x^3-x^2-24309x+1426113\) |
630.h2 |
630i6 |
630.h |
630i |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$4608$ |
$1.704998$ |
$1169975873419524361/108425318400$ |
$[1, -1, 1, -197573, 33848381]$ |
\(y^2+xy+y=x^3-x^2-197573x+33848381\) |
2310.h5 |
2310g2 |
2310.h |
2310g |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1.663762100$ |
$1$ |
|
$26$ |
$27648$ |
$1.936361$ |
$2610383204210122997209/12104550027662400$ |
$[1, 0, 1, -286854, 58872856]$ |
\(y^2+xy+y=x^3-286854x+58872856\) |
2310.l5 |
2310l2 |
2310.l |
2310l |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$4608$ |
$1.135401$ |
$432288716775559561/270140062500$ |
$[1, 0, 1, -15753, 759256]$ |
\(y^2+xy+y=x^3-15753x+759256\) |
2310.u7 |
2310t2 |
2310.u |
2310t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$6912$ |
$1.226542$ |
$29141055407581489/16604321025600$ |
$[1, 0, 0, -6411, 23985]$ |
\(y^2+xy=x^3-6411x+23985\) |
2730.o6 |
2730n2 |
2730.o |
2730n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$13824$ |
$1.442047$ |
$26031421522845051769/5797789779600$ |
$[1, 0, 1, -61744, 5898926]$ |
\(y^2+xy+y=x^3-61744x+5898926\) |
2730.bd6 |
2730bd2 |
2730.bd |
2730bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$18432$ |
$1.691902$ |
$7850236389974007121/4400862921000000$ |
$[1, 0, 0, -41405, -576975]$ |
\(y^2+xy=x^3-41405x-576975\) |
2730.bd7 |
2730bd1 |
2730.bd |
2730bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$11$ |
$9216$ |
$1.345329$ |
$1882742462388824401/11650189824000$ |
$[1, 0, 0, -25725, 1577457]$ |
\(y^2+xy=x^3-25725x+1577457\) |
3570.w6 |
3570v2 |
3570.w |
3570v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$36864$ |
$1.935337$ |
$17836145204788591940449/770635366502400$ |
$[1, 0, 0, -544326, 154522980]$ |
\(y^2+xy=x^3-544326x+154522980\) |
4290.bb5 |
4290bb4 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$2.145205242$ |
$1$ |
|
$22$ |
$55296$ |
$1.929352$ |
$11621808143080380273601/1335706803288000$ |
$[1, 0, 0, -471900, 124722000]$ |
\(y^2+xy=x^3-471900x+124722000\) |
4290.bb6 |
4290bb2 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1.072602621$ |
$1$ |
|
$34$ |
$27648$ |
$1.582779$ |
$3590017885052913601/954068544000000$ |
$[1, 0, 0, -31900, 1610000]$ |
\(y^2+xy=x^3-31900x+1610000\) |
4830.be6 |
4830bc2 |
4830.be |
4830bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$331776$ |
$2.859852$ |
$9378698233516887309850369/5418996968417034240000$ |
$[1, 0, 0, -4393456, -140558080]$ |
\(y^2+xy=x^3-4393456x-140558080\) |
5610.q7 |
5610t2 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$110592$ |
$2.064907$ |
$757443433548897303481/373234243041000000$ |
$[1, 0, 1, -189908, -12291694]$ |
\(y^2+xy+y=x^3-189908x-12291694\) |
6270.l5 |
6270l2 |
6270.l |
6270l |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$129024$ |
$2.140366$ |
$264020672568758737421881/5803468580250000$ |
$[1, 0, 1, -1336508, 594587306]$ |
\(y^2+xy+y=x^3-1336508x+594587306\) |
6630.v6 |
6630w2 |
6630.v |
6630w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$2.534009439$ |
$1$ |
|
$24$ |
$552960$ |
$2.878319$ |
$18980483520595353274840609/5549773448629762560000$ |
$[1, 0, 0, -5557266, -3547208700]$ |
\(y^2+xy=x^3-5557266x-3547208700\) |
6630.v7 |
6630w1 |
6630.v |
6630w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1.267004719$ |
$1$ |
|
$31$ |
$276480$ |
$2.531742$ |
$1018563973439611524445729/42904970360310988800$ |
$[1, 0, 0, -2096146, 1124611076]$ |
\(y^2+xy=x^3-2096146x+1124611076\) |
6930.q3 |
6930o6 |
6930.q |
6930o |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$2.550393544$ |
$1$ |
|
$22$ |
$165888$ |
$2.325153$ |
$4074571110566294433649/48828650062500$ |
$[1, -1, 0, -2994759, 1995489513]$ |
\(y^2+xy=x^3-x^2-2994759x+1995489513\) |
6930.z3 |
6930ba6 |
6930.z |
6930ba |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$2.022160351$ |
$1$ |
|
$24$ |
$110592$ |
$2.234013$ |
$14351050585434661561/3001282273281600$ |
$[1, -1, 1, -455648, 94718531]$ |
\(y^2+xy+y=x^3-x^2-455648x+94718531\) |
6930.bl2 |
6930bl6 |
6930.bl |
6930bl |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$663552$ |
$3.034973$ |
$467116778179943012100169/28800309694464000000$ |
$[1, -1, 1, -14548217, 20191955609]$ |
\(y^2+xy+y=x^3-x^2-14548217x+20191955609\) |
8190.h2 |
8190m6 |
8190.h |
8190m |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$442368$ |
$2.790516$ |
$1752803993935029634719121/4599740941532100$ |
$[1, -1, 0, -22607145, 41378528025]$ |
\(y^2+xy=x^3-x^2-22607145x+41378528025\) |
8190.bx1 |
8190bv8 |
8190.bx |
8190bv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 7^{4} \cdot 13^{3} \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$663552$ |
$2.887234$ |
$1286229821345376481036009/247265484375000000$ |
$[1, -1, 1, -20391107, 35440483331]$ |
\(y^2+xy+y=x^3-x^2-20391107x+35440483331\) |
8190.bx4 |
8190bv6 |
8190.bx |
8190bv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$331776$ |
$2.540661$ |
$424378956393532177129/136231857216000000$ |
$[1, -1, 1, -1409027, 429934979]$ |
\(y^2+xy+y=x^3-x^2-1409027x+429934979\) |
10710.n4 |
10710l6 |
10710.n |
10710l |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3.123974337$ |
$1$ |
|
$20$ |
$884736$ |
$3.033951$ |
$116454264690812369959009/57505157319440250000$ |
$[1, -1, 0, -9156294, 4087006308]$ |
\(y^2+xy=x^3-x^2-9156294x+4087006308\) |
12870.c2 |
12870p6 |
12870.c |
12870p |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$663552$ |
$2.681393$ |
$84415028961834287121601/30783551683856400$ |
$[1, -1, 0, -8225100, 9078652800]$ |
\(y^2+xy=x^3-x^2-8225100x+9078652800\) |
14490.z2 |
14490bb6 |
14490.z |
14490bb |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$7.270851926$ |
$1$ |
|
$10$ |
$7962624$ |
$3.958466$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$[1, -1, 0, -2245670064, 40961041011648]$ |
\(y^2+xy=x^3-x^2-2245670064x+40961041011648\) |
16830.bk3 |
16830cd6 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$2654208$ |
$3.163521$ |
$220031146443748723000125481/172266701724057600$ |
$[1, -1, 1, -113195543, 463573200431]$ |
\(y^2+xy+y=x^3-x^2-113195543x+463573200431\) |
18810.p3 |
18810z6 |
18810.p |
18810z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 11^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3.184275127$ |
$1$ |
|
$22$ |
$3096576$ |
$3.238976$ |
$1272998045160051207059881/691293848290254950400$ |
$[1, -1, 1, -20320943, 8757439031]$ |
\(y^2+xy+y=x^3-x^2-20320943x+8757439031\) |
19890.n2 |
19890r6 |
19890.n |
19890r |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$13271040$ |
$3.976929$ |
$7730680381889320597382223137569/441370202660156250000$ |
$[1, -1, 0, -3707437554, 86888738522628]$ |
\(y^2+xy=x^3-x^2-3707437554x+86888738522628\) |
30030.p5 |
30030r2 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$2.019797686$ |
$1$ |
|
$26$ |
$995328$ |
$2.346748$ |
$688999042618248810121129/779639711718968100$ |
$[1, 0, 1, -1840059, 959624146]$ |
\(y^2+xy+y=x^3-1840059x+959624146\) |
30030.bt6 |
30030bt2 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3.270112321$ |
$1$ |
|
$18$ |
$1548288$ |
$2.647797$ |
$199841159336796255944706769/834505270358760000$ |
$[1, 0, 0, -12180181, 16360637345]$ |
\(y^2+xy=x^3-12180181x+16360637345\) |
30030.bt7 |
30030bt1 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1.635056160$ |
$1$ |
|
$31$ |
$774144$ |
$2.301224$ |
$-46555485820017544148689/3157693080314572800$ |
$[1, 0, 0, -749461, 263897441]$ |
\(y^2+xy=x^3-749461x+263897441\) |
39270.bg5 |
39270bh2 |
39270.bg |
39270bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$2654208$ |
$2.822517$ |
$122884692280581205924284889/439106354595306090000$ |
$[1, 0, 1, -10357574, 12789715016]$ |
\(y^2+xy+y=x^3-10357574x+12789715016\) |
39270.br6 |
39270bp2 |
39270.br |
39270bp |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{6} \cdot 7^{4} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1.845940217$ |
$1$ |
|
$28$ |
$34504704$ |
$4.142235$ |
$1483553933406627878314880715143161/1904972409734563785924000000$ |
$[1, 0, 1, -2376073528, 44530097120006]$ |
\(y^2+xy+y=x^3-2376073528x+44530097120006\) |
39270.cp6 |
39270cn2 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$37158912$ |
$4.127731$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, 0, 0, -1054050116, -12046088636400]$ |
\(y^2+xy=x^3-1054050116x-12046088636400\) |
43890.ct6 |
43890ct2 |
43890.ct |
43890ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$995328$ |
$2.314022$ |
$110358600993178429667329/2339305154932838400$ |
$[1, 0, 0, -999296, 377303040]$ |
\(y^2+xy=x^3-999296x+377303040\) |
46410.be6 |
46410be2 |
46410.be |
46410be |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1.674159868$ |
$1$ |
|
$26$ |
$608256$ |
$2.104889$ |
$5877491705974396839241/261806444735062500$ |
$[1, 0, 1, -375973, 85217756]$ |
\(y^2+xy+y=x^3-375973x+85217756\) |
51870.y6 |
51870bd2 |
51870.y |
51870bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$2.503003782$ |
$1$ |
|
$24$ |
$1327104$ |
$2.376385$ |
$35872512095393194378249/14944558319037792900$ |
$[1, 0, 1, -687089, -116077264]$ |
\(y^2+xy+y=x^3-687089x-116077264\) |
51870.bd6 |
51870bc2 |
51870.bd |
51870bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$5.755875100$ |
$1$ |
|
$12$ |
$10616832$ |
$3.375904$ |
$19354385182631020519933543609/1297852417956067777440000$ |
$[1, 0, 1, -55935204, 151397748706]$ |
\(y^2+xy+y=x^3-55935204x+151397748706\) |
53130.cs7 |
53130cr2 |
53130.cs |
53130cr |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1.383717590$ |
$1$ |
|
$34$ |
$2654208$ |
$2.643871$ |
$1007588745830352584072161/351347432901696000000$ |
$[1, 0, 0, -2088590, -732603900]$ |
\(y^2+xy=x^3-2088590x-732603900\) |
62790.v6 |
62790w2 |
62790.v |
62790w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3.018098887$ |
$1$ |
|
$20$ |
$3317760$ |
$2.668751$ |
$14968716721822395621081721/91209357028881000000$ |
$[1, 0, 1, -5134368, 4453877806]$ |
\(y^2+xy+y=x^3-5134368x+4453877806\) |
62790.bu6 |
62790bt2 |
62790.bu |
62790bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 7^{4} \cdot 13^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$38043648$ |
$3.901947$ |
$2155087111607167363355460545287201/156481162929000000000000$ |
$[1, 0, 0, -2691000050, 53729999002500]$ |
\(y^2+xy=x^3-2691000050x+53729999002500\) |
62790.bu7 |
62790bt1 |
62790.bu |
62790bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$11$ |
$19021824$ |
$3.555370$ |
$-522923112164227281987660878881/4484275679769919488000000$ |
$[1, 0, 0, -167843570, 843125287812]$ |
\(y^2+xy=x^3-167843570x+843125287812\) |
66990.bg6 |
66990bf2 |
66990.bg |
66990bf |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$1$ |
$1$ |
|
$10$ |
$9732096$ |
$3.185337$ |
$670340013887004175017226729/232881726498686518522500$ |
$[1, 0, 1, -18232959, 18943242046]$ |
\(y^2+xy+y=x^3-18232959x+18943242046\) |
67830.s4 |
67830p2 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$5.290735247$ |
$1$ |
|
$14$ |
$9953280$ |
$3.273132$ |
$660866552951225193140994678169/363054521201227329600$ |
$[1, 0, 1, -181466594, 940883727476]$ |
\(y^2+xy+y=x^3-181466594x+940883727476\) |