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 |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
40460.a1 |
40460p1 |
40460.a |
40460p |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{5} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$310080$ |
$1.505541$ |
$14155776/84035$ |
$1.21697$ |
$3.88719$ |
$[0, 0, 0, 9248, 1041556]$ |
\(y^2=x^3+9248x+1041556\) |
70.2.0.a.1 |
$[]$ |
40460.b1 |
40460i2 |
40460.b |
40460i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$925344$ |
$2.420731$ |
$31610281984/14706125$ |
$0.93169$ |
$4.93847$ |
$[0, 1, 0, -799181, -122033825]$ |
\(y^2=x^3+x^2-799181x-122033825\) |
3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1 |
$[]$ |
40460.b2 |
40460i1 |
40460.b |
40460i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$308448$ |
$1.871424$ |
$4148813824/245$ |
$0.87283$ |
$4.74704$ |
$[0, 1, 0, -406141, 99483519]$ |
\(y^2=x^3+x^2-406141x+99483519\) |
3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4 |
$[]$ |
40460.c1 |
40460q2 |
40460.c |
40460q |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{15} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$42$ |
$16$ |
$0$ |
$3.065529017$ |
$1$ |
|
$2$ |
$15202080$ |
$3.769852$ |
$-167558444566341376/2967225943714375$ |
$1.02283$ |
$6.46221$ |
$[0, 1, 0, -55299090, -889776298187]$ |
\(y^2=x^3+x^2-55299090x-889776298187\) |
3.8.0-3.a.1.1, 14.2.0.a.1, 42.16.0-42.a.1.3 |
$[(72541, 19412085)]$ |
40460.c2 |
40460q1 |
40460.c |
40460q |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 7^{5} \cdot 17^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$42$ |
$16$ |
$0$ |
$1.021843005$ |
$1$ |
|
$10$ |
$5067360$ |
$3.220543$ |
$226392928058624/4103271484375$ |
$0.99325$ |
$5.83550$ |
$[0, 1, 0, 6113410, 32037609313]$ |
\(y^2=x^3+x^2+6113410x+32037609313\) |
3.8.0-3.a.1.2, 14.2.0.a.1, 42.16.0-42.a.1.4 |
$[(1541, 212415)]$ |
40460.d1 |
40460b2 |
40460.d |
40460b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$181440$ |
$1.674154$ |
$-225637236736/1715$ |
$1.02937$ |
$4.58959$ |
$[0, -1, 0, -232741, -43140079]$ |
\(y^2=x^3-x^2-232741x-43140079\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 3570.16.0.? |
$[]$ |
40460.d2 |
40460b1 |
40460.d |
40460b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60480$ |
$1.124847$ |
$-65536/875$ |
$0.97204$ |
$3.47055$ |
$[0, -1, 0, -1541, -113759]$ |
\(y^2=x^3-x^2-1541x-113759\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 3570.16.0.? |
$[]$ |
40460.e1 |
40460h1 |
40460.e |
40460h |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.171485452$ |
$1$ |
|
$8$ |
$36288$ |
$0.833883$ |
$84398535376/214375$ |
$0.86470$ |
$3.42856$ |
$[0, -1, 0, -3836, 92536]$ |
\(y^2=x^3-x^2-3836x+92536\) |
28.2.0.a.1 |
$[(66, 350)]$ |
40460.f1 |
40460e1 |
40460.f |
40460e |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$6.513723107$ |
$1$ |
|
$0$ |
$66096$ |
$1.242023$ |
$-117504/175$ |
$0.67150$ |
$3.61857$ |
$[0, 0, 0, -4913, -250563]$ |
\(y^2=x^3-4913x-250563\) |
14.2.0.a.1 |
$[(1084/3, 25685/3)]$ |
40460.g1 |
40460a2 |
40460.g |
40460a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29952$ |
$0.829479$ |
$212992848/109375$ |
$0.87695$ |
$3.13173$ |
$[0, 0, 0, -1343, 6358]$ |
\(y^2=x^3-1343x+6358\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
40460.g2 |
40460a1 |
40460.g |
40460a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14976$ |
$0.482906$ |
$588791808/6125$ |
$1.20425$ |
$2.96621$ |
$[0, 0, 0, -748, -7803]$ |
\(y^2=x^3-748x-7803\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
40460.h1 |
40460f2 |
40460.h |
40460f |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$6.051910485$ |
$1$ |
|
$1$ |
$979200$ |
$2.565445$ |
$2651848930512/8575$ |
$0.98856$ |
$5.62311$ |
$[0, 0, 0, -8995703, -10384834098]$ |
\(y^2=x^3-8995703x-10384834098\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-43341/5, 11298/5)]$ |
40460.h2 |
40460f1 |
40460.h |
40460f |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$3.025955242$ |
$1$ |
|
$3$ |
$489600$ |
$2.218872$ |
$10788913152/588245$ |
$1.03223$ |
$4.84285$ |
$[0, 0, 0, -569908, -157604127]$ |
\(y^2=x^3-569908x-157604127\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-358, 735)]$ |
40460.i1 |
40460g1 |
40460.i |
40460g |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$4.853688254$ |
$1$ |
|
$2$ |
$86400$ |
$1.219105$ |
$-113246208/13671875$ |
$1.23265$ |
$3.57607$ |
$[0, 0, 0, -1088, 199988]$ |
\(y^2=x^3-1088x+199988\) |
1190.2.0.? |
$[(493, 10931)]$ |
40460.j1 |
40460k1 |
40460.j |
40460k |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.790146680$ |
$1$ |
|
$2$ |
$1468800$ |
$2.635712$ |
$-113246208/13671875$ |
$1.23265$ |
$5.17855$ |
$[0, 0, 0, -314432, 982541044]$ |
\(y^2=x^3-314432x+982541044\) |
1190.2.0.? |
$[(-867, 24565)]$ |
40460.k1 |
40460j2 |
40460.k |
40460j |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$5.691558348$ |
$1$ |
|
$3$ |
$57600$ |
$1.148840$ |
$2651848930512/8575$ |
$0.98856$ |
$4.02063$ |
$[0, 0, 0, -31127, -2113746]$ |
\(y^2=x^3-31127x-2113746\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(6783, 558450)]$ |
40460.k2 |
40460j1 |
40460.k |
40460j |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$2.845779174$ |
$1$ |
|
$3$ |
$28800$ |
$0.802266$ |
$10788913152/588245$ |
$1.03223$ |
$3.24036$ |
$[0, 0, 0, -1972, -32079]$ |
\(y^2=x^3-1972x-32079\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-30, 9)]$ |
40460.l1 |
40460n2 |
40460.l |
40460n |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$509184$ |
$2.246086$ |
$212992848/109375$ |
$0.87695$ |
$4.73421$ |
$[0, 0, 0, -388127, 31236854]$ |
\(y^2=x^3-388127x+31236854\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
40460.l2 |
40460n1 |
40460.l |
40460n |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$254592$ |
$1.899513$ |
$588791808/6125$ |
$1.20425$ |
$4.56870$ |
$[0, 0, 0, -216172, -38336139]$ |
\(y^2=x^3-216172x-38336139\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
40460.m1 |
40460o1 |
40460.m |
40460o |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3888$ |
$-0.174584$ |
$-117504/175$ |
$0.67150$ |
$2.01609$ |
$[0, 0, 0, -17, -51]$ |
\(y^2=x^3-17x-51\) |
14.2.0.a.1 |
$[]$ |
40460.n1 |
40460m1 |
40460.n |
40460m |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$616896$ |
$2.250488$ |
$84398535376/214375$ |
$0.86470$ |
$5.03105$ |
$[0, 1, 0, -1108700, 447977348]$ |
\(y^2=x^3+x^2-1108700x+447977348\) |
28.2.0.a.1 |
$[]$ |
40460.o1 |
40460d2 |
40460.o |
40460d |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$435456$ |
$1.916376$ |
$-21064523776/8425795$ |
$0.86915$ |
$4.41558$ |
$[0, -1, 0, -105581, -17137015]$ |
\(y^2=x^3-x^2-105581x-17137015\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[]$ |
40460.o2 |
40460d1 |
40460.o |
40460d |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.367071$ |
$17997824/14875$ |
$0.77756$ |
$3.70003$ |
$[0, -1, 0, 10019, 249225]$ |
\(y^2=x^3-x^2+10019x+249225\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[]$ |
40460.p1 |
40460c2 |
40460.p |
40460c |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{15} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$894240$ |
$2.353245$ |
$-167558444566341376/2967225943714375$ |
$1.02283$ |
$4.85972$ |
$[0, -1, 0, -191346, -181038979]$ |
\(y^2=x^3-x^2-191346x-181038979\) |
3.4.0.a.1, 14.2.0.a.1, 42.8.0.a.1, 51.8.0-3.a.1.1, 714.16.0.? |
$[]$ |
40460.p2 |
40460c1 |
40460.p |
40460c |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 7^{5} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$298080$ |
$1.803938$ |
$226392928058624/4103271484375$ |
$0.99325$ |
$4.23301$ |
$[0, -1, 0, 21154, 6513521]$ |
\(y^2=x^3-x^2+21154x+6513521\) |
3.4.0.a.1, 14.2.0.a.1, 42.8.0.a.1, 51.8.0-3.a.1.2, 714.16.0.? |
$[]$ |
40460.q1 |
40460l2 |
40460.q |
40460l |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$2.010060303$ |
$1$ |
|
$2$ |
$54432$ |
$1.004124$ |
$31610281984/14706125$ |
$0.93169$ |
$3.33598$ |
$[0, -1, 0, -2765, -23863]$ |
\(y^2=x^3-x^2-2765x-23863\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.1, 510.16.0.? |
$[(112, 1029)]$ |
40460.q2 |
40460l1 |
40460.q |
40460l |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$0.670020101$ |
$1$ |
|
$2$ |
$18144$ |
$0.454817$ |
$4148813824/245$ |
$0.87283$ |
$3.14456$ |
$[0, -1, 0, -1405, 20745]$ |
\(y^2=x^3-x^2-1405x+20745\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.2, 510.16.0.? |
$[(27, 42)]$ |