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 |
703.b1 |
703a1 |
703.b |
703a |
$1$ |
$1$ |
\( 19 \cdot 37 \) |
\( 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$0.685188$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.79261$ |
$[0, 0, 1, -736, 1057]$ |
\(y^2+y=x^3-736x+1057\) |
74.2.0.? |
$[ ]$ |
6327.b1 |
6327c1 |
6327.b |
6327c |
$1$ |
$1$ |
\( 3^{2} \cdot 19 \cdot 37 \) |
\( 3^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$3.213745729$ |
$1$ |
|
$2$ |
$10080$ |
$1.234495$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.34260$ |
$[0, 0, 1, -6624, -28546]$ |
\(y^2+y=x^3-6624x-28546\) |
74.2.0.? |
$[(-74, 237)]$ |
11248.a1 |
11248g1 |
11248.a |
11248g |
$1$ |
$1$ |
\( 2^{4} \cdot 19 \cdot 37 \) |
\( 2^{12} \cdot 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.378336$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.25979$ |
$[0, 0, 0, -11776, -67664]$ |
\(y^2=x^3-11776x-67664\) |
74.2.0.? |
$[ ]$ |
13357.a1 |
13357c1 |
13357.a |
13357c |
$1$ |
$1$ |
\( 19^{2} \cdot 37 \) |
\( 19^{8} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.580431336$ |
$1$ |
|
$4$ |
$259200$ |
$2.157410$ |
$44091731607552/25033168477$ |
$1.20826$ |
$5.16684$ |
$[0, 0, 1, -265696, -7251678]$ |
\(y^2+y=x^3-265696x-7251678\) |
74.2.0.? |
$[(-266, 6678)]$ |
17575.a1 |
17575d1 |
17575.a |
17575d |
$1$ |
$1$ |
\( 5^{2} \cdot 19 \cdot 37 \) |
\( 5^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.236712272$ |
$1$ |
|
$8$ |
$92160$ |
$1.489908$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.20227$ |
$[0, 0, 1, -18400, 132156]$ |
\(y^2+y=x^3-18400x+132156\) |
74.2.0.? |
$[(440, 8787)]$ |
26011.b1 |
26011b1 |
26011.b |
26011b |
$1$ |
$1$ |
\( 19 \cdot 37^{2} \) |
\( 19^{2} \cdot 37^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$12.79702226$ |
$1$ |
|
$0$ |
$984960$ |
$2.490646$ |
$44091731607552/25033168477$ |
$1.20826$ |
$5.22146$ |
$[0, 0, 1, -1007584, 53552884]$ |
\(y^2+y=x^3-1007584x+53552884\) |
74.2.0.? |
$[(-1045604/33, 418818212/33)]$ |
34447.h1 |
34447c1 |
34447.h |
34447c |
$1$ |
$1$ |
\( 7^{2} \cdot 19 \cdot 37 \) |
\( 7^{6} \cdot 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$272160$ |
$1.658144$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.12482$ |
$[0, 0, 1, -36064, -362637]$ |
\(y^2+y=x^3-36064x-362637\) |
74.2.0.? |
$[ ]$ |
44992.a1 |
44992o1 |
44992.a |
44992o |
$1$ |
$1$ |
\( 2^{6} \cdot 19 \cdot 37 \) |
\( 2^{6} \cdot 19^{2} \cdot 37^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.862430133$ |
$1$ |
|
$6$ |
$103680$ |
$1.031761$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.32046$ |
$[0, 0, 0, -2944, 8458]$ |
\(y^2=x^3-2944x+8458\) |
74.2.0.? |
$[(879, 26011), (1/2, 703/2)]$ |
44992.bp1 |
44992bo1 |
44992.bp |
44992bo |
$1$ |
$1$ |
\( 2^{6} \cdot 19 \cdot 37 \) |
\( 2^{6} \cdot 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.031761$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.32046$ |
$[0, 0, 0, -2944, -8458]$ |
\(y^2=x^3-2944x-8458\) |
74.2.0.? |
$[ ]$ |
85063.c1 |
85063b1 |
85063.c |
85063b |
$1$ |
$1$ |
\( 11^{2} \cdot 19 \cdot 37 \) |
\( 11^{6} \cdot 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$972000$ |
$1.884136$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.03525$ |
$[0, 0, 1, -89056, -1407200]$ |
\(y^2+y=x^3-89056x-1407200\) |
74.2.0.? |
$[ ]$ |
101232.bd1 |
101232u1 |
101232.bd |
101232u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$16.05931150$ |
$1$ |
|
$0$ |
$725760$ |
$1.927641$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.01961$ |
$[0, 0, 0, -105984, 1826928]$ |
\(y^2=x^3-105984x+1826928\) |
74.2.0.? |
$[(2157649/356, 7483493159/356)]$ |
118807.c1 |
118807c1 |
118807.c |
118807c |
$1$ |
$1$ |
\( 13^{2} \cdot 19 \cdot 37 \) |
\( 13^{6} \cdot 19^{2} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$1.967663$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.00565$ |
$[0, 0, 1, -124384, 2322778]$ |
\(y^2+y=x^3-124384x+2322778\) |
74.2.0.? |
$[ ]$ |
120213.i1 |
120213j1 |
120213.i |
120213j |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 37 \) |
\( 3^{6} \cdot 19^{8} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3628800$ |
$2.706715$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.75981$ |
$[0, 0, 1, -2391264, 195795299]$ |
\(y^2+y=x^3-2391264x+195795299\) |
74.2.0.? |
$[ ]$ |
158175.q1 |
158175t1 |
158175.q |
158175t |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \cdot 37 \) |
\( 3^{6} \cdot 5^{6} \cdot 19^{2} \cdot 37^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$2.019298056$ |
$1$ |
|
$6$ |
$1290240$ |
$2.039215$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.98160$ |
$[0, 0, 1, -165600, -3568219]$ |
\(y^2+y=x^3-165600x-3568219\) |
74.2.0.? |
$[(5695/3, 325124/3), (-359/2, 26007/2)]$ |
203167.e1 |
203167e1 |
203167.e |
203167e |
$1$ |
$1$ |
\( 17^{2} \cdot 19 \cdot 37 \) |
\( 17^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.745228488$ |
$1$ |
|
$4$ |
$3686400$ |
$2.101795$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.96150$ |
$[0, 0, 1, -212704, 5194269]$ |
\(y^2+y=x^3-212704x+5194269\) |
74.2.0.? |
$[(-391, 5346)]$ |
213712.bi1 |
213712be1 |
213712.bi |
213712be |
$1$ |
$1$ |
\( 2^{4} \cdot 19^{2} \cdot 37 \) |
\( 2^{12} \cdot 19^{8} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18662400$ |
$2.850555$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.67731$ |
$[0, 0, 0, -4251136, 464107376]$ |
\(y^2=x^3-4251136x+464107376\) |
74.2.0.? |
$[ ]$ |
234099.e1 |
234099e1 |
234099.e |
234099e |
$1$ |
$1$ |
\( 3^{2} \cdot 19 \cdot 37^{2} \) |
\( 3^{6} \cdot 19^{2} \cdot 37^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13789440$ |
$3.039955$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.82667$ |
$[0, 0, 1, -9068256, -1445927875]$ |
\(y^2+y=x^3-9068256x-1445927875\) |
74.2.0.? |
$[ ]$ |
281200.cg1 |
281200cg1 |
281200.cg |
281200cg |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 37 \) |
\( 2^{12} \cdot 5^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$2.801488301$ |
$1$ |
|
$0$ |
$6635520$ |
$2.183056$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.93659$ |
$[0, 0, 0, -294400, -8458000]$ |
\(y^2=x^3-294400x-8458000\) |
74.2.0.? |
$[(-3815/3, 171125/3)]$ |
310023.q1 |
310023q1 |
310023.q |
310023q |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19 \cdot 37 \) |
\( 3^{6} \cdot 7^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$5.256675083$ |
$1$ |
|
$2$ |
$3810240$ |
$2.207451$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.92936$ |
$[0, 0, 1, -324576, 9791192]$ |
\(y^2+y=x^3-324576x+9791192\) |
74.2.0.? |
$[(-584, 408)]$ |
333925.k1 |
333925k1 |
333925.k |
333925k |
$1$ |
$1$ |
\( 5^{2} \cdot 19^{2} \cdot 37 \) |
\( 5^{6} \cdot 19^{8} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$33177600$ |
$2.962128$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.61845$ |
$[0, 0, 1, -6642400, -906459719]$ |
\(y^2+y=x^3-6642400x-906459719\) |
74.2.0.? |
$[ ]$ |
371887.c1 |
371887c1 |
371887.c |
371887c |
$1$ |
$1$ |
\( 19 \cdot 23^{2} \cdot 37 \) |
\( 19^{2} \cdot 23^{6} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$4.021434443$ |
$1$ |
|
$0$ |
$9123840$ |
$2.252937$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.91618$ |
$[0, 0, 1, -389344, -12863561]$ |
\(y^2+y=x^3-389344x-12863561\) |
74.2.0.? |
$[(-299/3, 5012/3)]$ |
404928.ba1 |
404928ba1 |
404928.ba |
404928ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( 2^{6} \cdot 3^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1.149280625$ |
$1$ |
|
$2$ |
$1451520$ |
$1.581068$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.26592$ |
$[0, 0, 0, -26496, -228366]$ |
\(y^2=x^3-26496x-228366\) |
74.2.0.? |
$[(175, 703)]$ |
404928.bd1 |
404928bd1 |
404928.bd |
404928bd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( 2^{6} \cdot 3^{6} \cdot 19^{2} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1.022139024$ |
$1$ |
|
$2$ |
$1451520$ |
$1.581068$ |
$44091731607552/25033168477$ |
$1.20826$ |
$3.26592$ |
$[0, 0, 0, -26496, 228366]$ |
\(y^2=x^3-26496x+228366\) |
74.2.0.? |
$[(-101, 1369)]$ |
416176.a1 |
416176a1 |
416176.a |
416176a |
$1$ |
$1$ |
\( 2^{4} \cdot 19 \cdot 37^{2} \) |
\( 2^{12} \cdot 19^{2} \cdot 37^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$11.64178013$ |
$1$ |
|
$0$ |
$70917120$ |
$3.183796$ |
$44091731607552/25033168477$ |
$1.20826$ |
$4.74544$ |
$[0, 0, 0, -16121344, -3427384592]$ |
\(y^2=x^3-16121344x-3427384592\) |
74.2.0.? |
$[(-4394231/65, 30351533603/65)]$ |
494209.g1 |
494209g1 |
494209.g |
494209g |
$1$ |
$1$ |
\( 19^{2} \cdot 37^{2} \) |
\( 19^{8} \cdot 37^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354585600$ |
$3.962868$ |
$44091731607552/25033168477$ |
$1.20826$ |
$5.39631$ |
$[0, 0, 1, -363737824, -367319233071]$ |
\(y^2+y=x^3-363737824x-367319233071\) |
74.2.0.? |
$[ ]$ |