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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
39.a2 39.a \( 3 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 0, -19, 22]$ \(y^2+xy=x^3+x^2-19x+22\) 2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?
117.a2 117.a \( 3^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.282583906$ $[1, -1, 1, -176, -768]$ \(y^2+xy+y=x^3-x^2-176x-768\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.?
507.a2 507.a \( 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.267343718$ $[1, 1, 1, -3299, 64670]$ \(y^2+xy+y=x^3+x^2-3299x+64670\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$
624.i2 624.i \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -312, -2028]$ \(y^2=x^3+x^2-312x-2028\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.?
975.f2 975.f \( 3 \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -488, 3717]$ \(y^2+xy=x^3-488x+3717\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$
1521.e2 1521.e \( 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -29691, -1775786]$ \(y^2+xy=x^3-x^2-29691x-1775786\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$
1872.h2 1872.h \( 2^{4} \cdot 3^{2} \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -2811, 51946]$ \(y^2=x^3-2811x+51946\) 2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?
1911.f2 1911.f \( 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.425746569$ $[1, 0, 1, -957, -10391]$ \(y^2+xy+y=x^3-957x-10391\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$
2496.e2 2496.e \( 2^{6} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1249, -14975]$ \(y^2=x^3-x^2-1249x-14975\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
2496.q2 2496.q \( 2^{6} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1249, 14975]$ \(y^2=x^3+x^2-1249x+14975\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$
2925.p2 2925.p \( 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -4392, -100359]$ \(y^2+xy=x^3-x^2-4392x-100359\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$
4719.c2 4719.c \( 3 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -2362, -40996]$ \(y^2+xy+y=x^3+x^2-2362x-40996\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$
5733.e2 5733.e \( 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.944289050$ $[1, -1, 1, -8609, 280550]$ \(y^2+xy+y=x^3-x^2-8609x+280550\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$
7488.bl2 7488.bl \( 2^{6} \cdot 3^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -11244, -415568]$ \(y^2=x^3-11244x-415568\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
7488.by2 7488.by \( 2^{6} \cdot 3^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.903017102$ $[0, 0, 0, -11244, 415568]$ \(y^2=x^3-11244x+415568\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$
8112.s2 8112.s \( 2^{4} \cdot 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $6.445332494$ $[0, 1, 0, -52784, -4244460]$ \(y^2=x^3+x^2-52784x-4244460\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$
11271.g2 11271.g \( 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.870660367$ $[1, 0, 1, -5642, 147221]$ \(y^2+xy+y=x^3-5642x+147221\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$
12675.ba2 12675.ba \( 3 \cdot 5^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -82476, 8248723]$ \(y^2+xy+y=x^3-82476x+8248723\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$
14079.e2 14079.e \( 3 \cdot 13 \cdot 19^{2} \) $1$ $\Z/2\Z$ $7.339314361$ $[1, 0, 0, -7047, -206778]$ \(y^2+xy=x^3-7047x-206778\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$
14157.r2 14157.r \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.393502953$ $[1, -1, 0, -21258, 1085629]$ \(y^2+xy=x^3-x^2-21258x+1085629\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
15600.b2 15600.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) $2$ $\Z/2\Z$ $5.345933715$ $[0, -1, 0, -7808, -237888]$ \(y^2=x^3-x^2-7808x-237888\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$
20631.g2 20631.g \( 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.306310611$ $[1, 1, 0, -10326, -370059]$ \(y^2+xy=x^3+x^2-10326x-370059\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$
24336.bo2 24336.bo \( 2^{4} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.276601815$ $[0, 0, 0, -475059, 114125362]$ \(y^2=x^3-475059x+114125362\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$
24843.h2 24843.h \( 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $8.890383664$ $[1, 0, 0, -161652, -22666827]$ \(y^2+xy=x^3-161652x-22666827\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$
30576.i2 30576.i \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.350138856$ $[0, -1, 0, -15304, 665008]$ \(y^2=x^3-x^2-15304x+665008\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$
32448.be2 32448.be \( 2^{6} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -211137, -33744543]$ \(y^2=x^3-x^2-211137x-33744543\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$
32448.di2 32448.di \( 2^{6} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -211137, 33744543]$ \(y^2=x^3+x^2-211137x+33744543\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$
32799.d2 32799.d \( 3 \cdot 13 \cdot 29^{2} \) $1$ $\Z/2\Z$ $2.930847791$ $[1, 0, 0, -16417, 731798]$ \(y^2+xy=x^3-16417x+731798\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 116.12.0.?, $\ldots$
33813.e2 33813.e \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.051523763$ $[1, -1, 1, -50774, -3974974]$ \(y^2+xy+y=x^3-x^2-50774x-3974974\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$
37479.g2 37479.g \( 3 \cdot 13 \cdot 31^{2} \) $1$ $\Z/2\Z$ $17.48590076$ $[1, 0, 1, -18760, -897121]$ \(y^2+xy+y=x^3-18760x-897121\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 124.12.0.?, $\ldots$
38025.n2 38025.n \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -742280, -222715528]$ \(y^2+xy+y=x^3-x^2-742280x-222715528\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 104.12.0.?, $\ldots$
42237.c2 42237.c \( 3^{2} \cdot 13 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.429064821$ $[1, -1, 0, -63423, 5583006]$ \(y^2+xy=x^3-x^2-63423x+5583006\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$
46800.s2 46800.s \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.112938607$ $[0, 0, 0, -70275, 6493250]$ \(y^2=x^3-70275x+6493250\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$
47775.w2 47775.w \( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.089467139$ $[1, 1, 1, -23913, -1298844]$ \(y^2+xy+y=x^3+x^2-23913x-1298844\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 140.12.0.?, $\ldots$
53391.a2 53391.a \( 3 \cdot 13 \cdot 37^{2} \) $1$ $\Z/2\Z$ $1.755064409$ $[1, 1, 1, -26724, 1511562]$ \(y^2+xy+y=x^3+x^2-26724x+1511562\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 148.12.0.?, $\ldots$
61347.u2 61347.u \( 3 \cdot 11^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -399181, -88071914]$ \(y^2+xy=x^3+x^2-399181x-88071914\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 104.12.0.?, $\ldots$
61893.d2 61893.d \( 3^{2} \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -92939, 9898656]$ \(y^2+xy+y=x^3-x^2-92939x+9898656\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$
62400.dy2 62400.dy \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -31233, 1934337]$ \(y^2=x^3-x^2-31233x+1934337\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$
62400.ej2 62400.ej \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -31233, -1934337]$ \(y^2=x^3+x^2-31233x-1934337\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$
65559.f2 65559.f \( 3 \cdot 13 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -32815, 2069123]$ \(y^2+xy+y=x^3-32815x+2069123\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 164.12.0.?, $\ldots$
72111.b2 72111.b \( 3 \cdot 13 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -36094, -2393095]$ \(y^2+xy=x^3-36094x-2393095\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 172.12.0.?, $\ldots$
74529.bf2 74529.bf \( 3^{2} \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $4.179785981$ $[1, -1, 0, -1454868, 612004329]$ \(y^2+xy=x^3-x^2-1454868x+612004329\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.3, 104.12.0.?, $\ldots$
75504.ci2 75504.ci \( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -37792, 2548148]$ \(y^2=x^3+x^2-37792x+2548148\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
86151.e2 86151.e \( 3 \cdot 13 \cdot 47^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -43121, -3139026]$ \(y^2+xy=x^3+x^2-43121x-3139026\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 188.12.0.?, $\ldots$
91728.fc2 91728.fc \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -137739, -17817478]$ \(y^2=x^3-137739x-17817478\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$
97344.z2 97344.z \( 2^{6} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.721129840$ $[0, 0, 0, -1900236, 913002896]$ \(y^2=x^3-1900236x+913002896\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$
97344.ch2 97344.ch \( 2^{6} \cdot 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1900236, -913002896]$ \(y^2=x^3-1900236x-913002896\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$
98397.s2 98397.s \( 3^{2} \cdot 13 \cdot 29^{2} \) $1$ $\Z/2\Z$ $2.601007537$ $[1, -1, 0, -147753, -19758546]$ \(y^2+xy=x^3-x^2-147753x-19758546\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 116.12.0.?, $\ldots$
109551.b2 109551.b \( 3 \cdot 13 \cdot 53^{2} \) $1$ $\Z/2\Z$ $3.408852724$ $[1, 0, 0, -54834, 4470873]$ \(y^2+xy=x^3-54834x+4470873\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 212.12.0.?, $\ldots$
112437.a2 112437.a \( 3^{2} \cdot 13 \cdot 31^{2} \) $1$ $\Z/2\Z$ $1.710730747$ $[1, -1, 1, -168836, 24222260]$ \(y^2+xy+y=x^3-x^2-168836x+24222260\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 124.12.0.?, $\ldots$
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