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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
770.a1 |
770b4 |
770.a |
770b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{9} \cdot 5^{6} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$1.397518$ |
$423783056881319689/99207416000000$ |
$[1, 0, 1, -15649, 580116]$ |
\(y^2+xy+y=x^3-15649x+580116\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
770.a2 |
770b2 |
770.a |
770b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$1152$ |
$0.848212$ |
$346553430870203929/8300600$ |
$[1, 0, 1, -14634, 680132]$ |
\(y^2+xy+y=x^3-14634x+680132\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
770.a3 |
770b1 |
770.a |
770b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$576$ |
$0.501638$ |
$-84309998289049/414124480$ |
$[1, 0, 1, -914, 10596]$ |
\(y^2+xy+y=x^3-914x+10596\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.d.1, 110.6.0.?, $\ldots$ |
$[]$ |
770.a4 |
770b3 |
770.a |
770b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{18} \cdot 5^{3} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$1.050945$ |
$1296134247276791/2137096192000$ |
$[1, 0, 1, 2271, 56852]$ |
\(y^2+xy+y=x^3+2271x+56852\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.d.1, 110.6.0.?, $\ldots$ |
$[]$ |
770.b1 |
770d2 |
770.b |
770d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$0.120889825$ |
$1$ |
|
$18$ |
$512$ |
$0.586879$ |
$67324767141241/3368750000$ |
$[1, 0, 1, -848, 9006]$ |
\(y^2+xy+y=x^3-848x+9006\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(5, 67)]$ |
770.b2 |
770d1 |
770.b |
770d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 5^{4} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$0.241779650$ |
$1$ |
|
$11$ |
$256$ |
$0.240305$ |
$3789119879/135520000$ |
$[1, 0, 1, 32, 558]$ |
\(y^2+xy+y=x^3+32x+558\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(4, 25)]$ |
770.c1 |
770c3 |
770.c |
770c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{5} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$2.040012$ |
$3855131356812007128171561/8967612500$ |
$[1, -1, 0, -3266669, -2271693567]$ |
\(y^2+xy=x^3-x^2-3266669x-2271693567\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 88.24.0.?, $\ldots$ |
$[]$ |
770.c2 |
770c4 |
770.c |
770c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{20} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$10240$ |
$2.040012$ |
$1098325674097093229481/205612182617187500$ |
$[1, -1, 0, -214949, -31495495]$ |
\(y^2+xy=x^3-x^2-214949x-31495495\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 44.24.0-44.h.1.2, 440.48.0.? |
$[]$ |
770.c3 |
770c2 |
770.c |
770c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{10} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5120$ |
$1.693439$ |
$941226862950447171561/45393906250000$ |
$[1, -1, 0, -204169, -35456067]$ |
\(y^2+xy=x^3-x^2-204169x-35456067\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.1, 220.48.0.? |
$[]$ |
770.c4 |
770c1 |
770.c |
770c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2560$ |
$1.346867$ |
$-195395722614328041/50730248800000$ |
$[1, -1, 0, -12089, -612755]$ |
\(y^2+xy=x^3-x^2-12089x-612755\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[]$ |
770.d1 |
770e3 |
770.d |
770e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$2.235814959$ |
$1$ |
|
$2$ |
$1024$ |
$0.955394$ |
$1010962818911303721/57392720$ |
$[1, -1, 0, -20909, -1158507]$ |
\(y^2+xy=x^3-x^2-20909x-1158507\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 88.24.0.?, $\ldots$ |
$[(189, 1176)]$ |
770.d2 |
770e4 |
770.d |
770e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{4} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$0.558953739$ |
$1$ |
|
$14$ |
$1024$ |
$0.955394$ |
$1160306142246441/634128110000$ |
$[1, -1, 0, -2189, 9845]$ |
\(y^2+xy=x^3-x^2-2189x+9845\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 44.24.0-44.h.1.2, 440.48.0.? |
$[(1, 87)]$ |
770.d3 |
770e2 |
770.d |
770e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$1.117907479$ |
$1$ |
|
$10$ |
$512$ |
$0.608820$ |
$248158561089321/1859334400$ |
$[1, -1, 0, -1309, -17787]$ |
\(y^2+xy=x^3-x^2-1309x-17787\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.1, 220.48.0.? |
$[(-21, 0)]$ |
770.d4 |
770e1 |
770.d |
770e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$2.235814959$ |
$1$ |
|
$3$ |
$256$ |
$0.262247$ |
$-2749884201/176619520$ |
$[1, -1, 0, -29, -635]$ |
\(y^2+xy=x^3-x^2-29x-635\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[(19, 64)]$ |
770.e1 |
770a2 |
770.e |
770a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$-0.191014$ |
$43949604889/42350$ |
$[1, 1, 0, -73, -273]$ |
\(y^2+xy=x^3+x^2-73x-273\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[]$ |
770.e2 |
770a1 |
770.e |
770a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.537587$ |
$-4826809/10780$ |
$[1, 1, 0, -3, -7]$ |
\(y^2+xy=x^3+x^2-3x-7\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[]$ |
770.f1 |
770f4 |
770.f |
770f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{12} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$924$ |
$96$ |
$1$ |
$3.124064275$ |
$1$ |
|
$2$ |
$3456$ |
$1.422663$ |
$1969902499564819009/63690429687500$ |
$[1, 0, 0, -26116, -1580604]$ |
\(y^2+xy=x^3-26116x-1580604\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 28.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(-96, 258)]$ |
770.f2 |
770f2 |
770.f |
770f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$924$ |
$96$ |
$1$ |
$1.041354758$ |
$1$ |
|
$16$ |
$1152$ |
$0.873356$ |
$5057359576472449/51765560000$ |
$[1, 0, 0, -3576, 81280]$ |
\(y^2+xy=x^3-3576x+81280\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 28.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(38, 6)]$ |
770.f3 |
770f1 |
770.f |
770f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$924$ |
$96$ |
$1$ |
$0.520677379$ |
$1$ |
|
$23$ |
$576$ |
$0.526783$ |
$-19443408769/4249907200$ |
$[1, 0, 0, -56, 3136]$ |
\(y^2+xy=x^3-56x+3136\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 14.6.0.b.1, 42.48.0-42.b.1.4, $\ldots$ |
$[(6, 52)]$ |
770.f4 |
770f3 |
770.f |
770f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 5^{6} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$924$ |
$96$ |
$1$ |
$1.562032137$ |
$1$ |
|
$3$ |
$1728$ |
$1.076088$ |
$14156681599871/3100231750000$ |
$[1, 0, 0, 504, -84560]$ |
\(y^2+xy=x^3+504x-84560\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 14.6.0.b.1, 42.48.0-42.b.1.3, $\ldots$ |
$[(58, 346)]$ |
770.g1 |
770g4 |
770.g |
770g |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2 \cdot 5^{2} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.848818$ |
$4823468134087681/30382271150$ |
$[1, 0, 0, -3520, -80238]$ |
\(y^2+xy=x^3-3520x-80238\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
770.g2 |
770g2 |
770.g |
770g |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$384$ |
$0.299511$ |
$2177286259681/105875000$ |
$[1, 0, 0, -270, 1612]$ |
\(y^2+xy=x^3-270x+1612\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
770.g3 |
770g3 |
770.g |
770g |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5 \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.502244$ |
$-80677568161/3131816380$ |
$[1, 0, 0, -90, -2720]$ |
\(y^2+xy=x^3-90x-2720\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.d.1, 110.6.0.?, $\ldots$ |
$[]$ |
770.g4 |
770g1 |
770.g |
770g |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$192$ |
$-0.047062$ |
$109902239/4312000$ |
$[1, 0, 0, 10, 100]$ |
\(y^2+xy=x^3+10x+100\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.d.1, 110.6.0.?, $\ldots$ |
$[]$ |