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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
471510.a1 471510.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $0.915416375$ $[1, -1, 0, -2302065, 1287063675]$ \(y^2+xy=x^3-x^2-2302065x+1287063675\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 312.12.0.?, 744.12.0.?, $\ldots$
471510.a2 471510.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.830832751$ $[1, -1, 0, -400815, -71569575]$ \(y^2+xy=x^3-x^2-400815x-71569575\) 2.6.0.a.1, 40.12.0.a.1, 312.12.0.?, 744.12.0.?, 780.12.0.?, $\ldots$
471510.a3 471510.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $3.661665503$ $[1, -1, 0, -370395, -86663979]$ \(y^2+xy=x^3-x^2-370395x-86663979\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 744.12.0.?, $\ldots$
471510.a4 471510.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $3.661665503$ $[1, -1, 0, 1013715, -464526009]$ \(y^2+xy=x^3-x^2+1013715x-464526009\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 744.12.0.?, $\ldots$
471510.b1 471510.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $31.91940587$ $[1, -1, 0, 1573134525, 632871536251761]$ \(y^2+xy=x^3-x^2+1573134525x+632871536251761\) 310.2.0.?
471510.c1 471510.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -20541891135, -1133200390041459]$ \(y^2+xy=x^3-x^2-20541891135x-1133200390041459\) 2.3.0.a.1, 12.6.0.c.1, 1612.6.0.?, 2418.6.0.?, 4836.12.0.?
471510.c2 471510.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -20476995135, -1140716086655859]$ \(y^2+xy=x^3-x^2-20476995135x-1140716086655859\) 2.3.0.a.1, 6.6.0.a.1, 1612.6.0.?, 4836.12.0.?
471510.d1 471510.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.530772416$ $[1, -1, 0, -353067480, 2553581378700]$ \(y^2+xy=x^3-x^2-353067480x+2553581378700\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 520.12.0.?, 1240.12.0.?, $\ldots$
471510.d2 471510.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.061544833$ $[1, -1, 0, -22067460, 39901026816]$ \(y^2+xy=x^3-x^2-22067460x+39901026816\) 2.6.0.a.1, 12.12.0-2.a.1.1, 260.12.0.?, 620.12.0.?, 780.24.0.?, $\ldots$
471510.d3 471510.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.530772416$ $[1, -1, 0, -20090160, 47340815796]$ \(y^2+xy=x^3-x^2-20090160x+47340815796\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 260.12.0.?, 780.24.0.?, $\ldots$
471510.d4 471510.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $6.123089666$ $[1, -1, 0, -1503540, 504668880]$ \(y^2+xy=x^3-x^2-1503540x+504668880\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 520.12.0.?, 780.12.0.?, $\ldots$
471510.e1 471510.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $2$ $\Z/2\Z$ $7.608150118$ $[1, -1, 0, -1336230, -592586604]$ \(y^2+xy=x^3-x^2-1336230x-592586604\) 2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.?
471510.e2 471510.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $2$ $\Z/2\Z$ $1.902037529$ $[1, -1, 0, -119430, -491724]$ \(y^2+xy=x^3-x^2-119430x-491724\) 2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.?
471510.f1 471510.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -555984090, 4975856827956]$ \(y^2+xy=x^3-x^2-555984090x+4975856827956\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$
471510.f2 471510.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -69264090, -102287620044]$ \(y^2+xy=x^3-x^2-69264090x-102287620044\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$
471510.f3 471510.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -58594275, -169400210355]$ \(y^2+xy=x^3-x^2-58594275x-169400210355\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$
471510.f4 471510.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -58290075, -171278523675]$ \(y^2+xy=x^3-x^2-58290075x-171278523675\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$
471510.g1 471510.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $11.02034156$ $[1, -1, 0, -36800880, -85918892500]$ \(y^2+xy=x^3-x^2-36800880x-85918892500\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 78.24.0.?, $\ldots$
471510.g2 471510.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $22.04068313$ $[1, -1, 0, -36572730, -87036964390]$ \(y^2+xy=x^3-x^2-36572730x-87036964390\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 78.24.0.?, $\ldots$
471510.g3 471510.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $3.673447188$ $[1, -1, 0, -550380, -64306800]$ \(y^2+xy=x^3-x^2-550380x-64306800\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 78.24.0.?, $\ldots$
471510.g4 471510.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $7.346894377$ $[1, -1, 0, 1984620, -491707800]$ \(y^2+xy=x^3-x^2+1984620x-491707800\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 78.24.0.?, $\ldots$
471510.h1 471510.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $3.866315390$ $[1, -1, 0, -3427605, -1684745555]$ \(y^2+xy=x^3-x^2-3427605x-1684745555\) 2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.?
471510.h2 471510.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $7.732630781$ $[1, -1, 0, -3123405, -2123584475]$ \(y^2+xy=x^3-x^2-3123405x-2123584475\) 2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.?
471510.i1 471510.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 41835, -5383819]$ \(y^2+xy=x^3-x^2+41835x-5383819\) 24180.2.0.?
471510.j1 471510.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $4.152624778$ $[1, -1, 0, -245038455, 1480006153575]$ \(y^2+xy=x^3-x^2-245038455x+1480006153575\) 3720.2.0.?
471510.k1 471510.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $3.473529373$ $[1, -1, 0, 28216800, 18629415936]$ \(y^2+xy=x^3-x^2+28216800x+18629415936\) 9672.2.0.?
471510.l1 471510.l \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $46.37850061$ $[1, -1, 0, -15819538500, -793613580671664]$ \(y^2+xy=x^3-x^2-15819538500x-793613580671664\) 3720.2.0.?
471510.m1 471510.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $69.21384151$ $[1, -1, 0, -542310927885, -153716421029442075]$ \(y^2+xy=x^3-x^2-542310927885x-153716421029442075\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 372.12.0.?, $\ldots$
471510.m2 471510.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $17.30346037$ $[1, -1, 0, -35841777165, -2110366969569819]$ \(y^2+xy=x^3-x^2-35841777165x-2110366969569819\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 312.12.0.?, 744.12.0.?, $\ldots$
471510.m3 471510.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $34.60692075$ $[1, -1, 0, -33894897165, -2401743649761819]$ \(y^2+xy=x^3-x^2-33894897165x-2401743649761819\) 2.6.0.a.1, 40.12.0.a.1, 312.12.0.?, 372.12.0.?, 780.12.0.?, $\ldots$
471510.m4 471510.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $69.21384151$ $[1, -1, 0, -1997215245, -42010557147675]$ \(y^2+xy=x^3-x^2-1997215245x-42010557147675\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 312.12.0.?, 372.12.0.?, $\ldots$
471510.n1 471510.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.571990462$ $[1, -1, 0, -10081980, -12318855080]$ \(y^2+xy=x^3-x^2-10081980x-12318855080\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 104.12.0.?, 312.24.0.?, $\ldots$
471510.n2 471510.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.785995231$ $[1, -1, 0, -651780, -178415600]$ \(y^2+xy=x^3-x^2-651780x-178415600\) 2.6.0.a.1, 24.12.0.a.1, 52.12.0-2.a.1.1, 312.24.0.?, 1240.12.0.?, $\ldots$
471510.n3 471510.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.392997615$ $[1, -1, 0, -165060, 22989136]$ \(y^2+xy=x^3-x^2-165060x+22989136\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$
471510.n4 471510.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.571990462$ $[1, -1, 0, 990900, -933719864]$ \(y^2+xy=x^3-x^2+990900x-933719864\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$
471510.o1 471510.o \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $2.710781364$ $[1, -1, 0, 554880, -5658116554]$ \(y^2+xy=x^3-x^2+554880x-5658116554\) 248.2.0.?
471510.p1 471510.p \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $8.511401537$ $[1, -1, 0, -46269105, -121156445539]$ \(y^2+xy=x^3-x^2-46269105x-121156445539\) 24180.2.0.?
471510.q1 471510.q \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -303832710, 791012924716]$ \(y^2+xy=x^3-x^2-303832710x+791012924716\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 248.12.0.?, $\ldots$
471510.q2 471510.q \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -162379710, -787800589484]$ \(y^2+xy=x^3-x^2-162379710x-787800589484\) 2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 248.12.0.?, 312.24.0.?, $\ldots$
471510.q3 471510.q \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -161892990, -792807867500]$ \(y^2+xy=x^3-x^2-161892990x-792807867500\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 248.12.0.?, $\ldots$
471510.q4 471510.q \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -28714230, -2046154151300]$ \(y^2+xy=x^3-x^2-28714230x-2046154151300\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 248.12.0.?, $\ldots$
471510.r1 471510.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -220618800, 1260371020000]$ \(y^2+xy=x^3-x^2-220618800x+1260371020000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 248.12.0.?, $\ldots$
471510.r2 471510.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -16926480, 10066821376]$ \(y^2+xy=x^3-x^2-16926480x+10066821376\) 2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 248.12.0.?, 312.24.0.?, $\ldots$
471510.r3 471510.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -9138960, -10521824000]$ \(y^2+xy=x^3-x^2-9138960x-10521824000\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 248.12.0.?, $\ldots$
471510.r4 471510.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 62165520, 77342476576]$ \(y^2+xy=x^3-x^2+62165520x+77342476576\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 248.12.0.?, $\ldots$
471510.s1 471510.s \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -42884880, 108105208576]$ \(y^2+xy=x^3-x^2-42884880x+108105208576\) 2.3.0.a.1, 60.6.0.c.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.?
471510.s2 471510.s \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2649360, 1730540800]$ \(y^2+xy=x^3-x^2-2649360x+1730540800\) 2.3.0.a.1, 30.6.0.a.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.?
471510.t1 471510.t \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $0.909230140$ $[1, -1, 0, 355005, 52612821]$ \(y^2+xy=x^3-x^2+355005x+52612821\) 310.2.0.?
471510.u1 471510.u \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -38501865, 117310236525]$ \(y^2+xy=x^3-x^2-38501865x+117310236525\) 9672.2.0.?
471510.v1 471510.v \( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $3.242681057$ $[1, -1, 0, -15300, -905904]$ \(y^2+xy=x^3-x^2-15300x-905904\) 310.2.0.?
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