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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
10010.a1 10010.a \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -78985959, -270129426454]$ \(y^2+xy+y=x^3-78985959x-270129426454\) 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.?, $\ldots$
10010.a2 10010.a \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -5585639, -3040342038]$ \(y^2+xy+y=x^3-5585639x-3040342038\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.d.1, 130.6.0.?, $\ldots$
10010.a3 10010.a \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, -2633144, 1164731142]$ \(y^2+xy+y=x^3-2633144x+1164731142\) 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.?, $\ldots$
10010.a4 10010.a \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, -2413624, 1442906886]$ \(y^2+xy+y=x^3-2413624x+1442906886\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.d.1, 130.6.0.?, $\ldots$
10010.b1 10010.b \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.396355067$ $[1, 0, 1, -463, 2538]$ \(y^2+xy+y=x^3-463x+2538\) 2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.?
10010.b2 10010.b \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.792710135$ $[1, 0, 1, -183, -934]$ \(y^2+xy+y=x^3-183x-934\) 2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.?
10010.c1 10010.c \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $7.836468491$ $[1, -1, 0, -822155, -286726349]$ \(y^2+xy=x^3-x^2-822155x-286726349\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 52.12.0-4.c.1.1, $\ldots$
10010.c2 10010.c \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.918234245$ $[1, -1, 0, -51385, -4470375]$ \(y^2+xy=x^3-x^2-51385x-4470375\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.1, $\ldots$
10010.c3 10010.c \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $7.836468491$ $[1, -1, 0, -48935, -4917745]$ \(y^2+xy=x^3-x^2-48935x-4917745\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$
10010.c4 10010.c \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.959117122$ $[1, -1, 0, -3365, -62139]$ \(y^2+xy=x^3-x^2-3365x-62139\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$
10010.d1 10010.d \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.817746625$ $[1, -1, 0, -14420, -218050]$ \(y^2+xy=x^3-x^2-14420x-218050\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 52.12.0-4.c.1.1, $\ldots$
10010.d2 10010.d \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.408873312$ $[1, -1, 0, -8050, 277536]$ \(y^2+xy=x^3-x^2-8050x+277536\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.1, $\ldots$
10010.d3 10010.d \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.817746625$ $[1, -1, 0, -8030, 278980]$ \(y^2+xy=x^3-x^2-8030x+278980\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$
10010.d4 10010.d \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.817746625$ $[1, -1, 0, -2000, 680466]$ \(y^2+xy=x^3-x^2-2000x+680466\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$
10010.e1 10010.e \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.633984984$ $[1, -1, 0, -224, 168]$ \(y^2+xy=x^3-x^2-224x+168\) 2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?
10010.e2 10010.e \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.267969968$ $[1, -1, 0, 56, 0]$ \(y^2+xy=x^3-x^2+56x\) 2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?
10010.f1 10010.f \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/4\Z$ $4.010017547$ $[1, -1, 0, -9293283119, 344829679814125]$ \(y^2+xy=x^3-x^2-9293283119x+344829679814125\) 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.?
10010.f2 10010.f \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $16.04007018$ $[1, -1, 0, -1232875439, -8683800943507]$ \(y^2+xy=x^3-x^2-1232875439x-8683800943507\) 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.?, $\ldots$
10010.f3 10010.f \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.020035094$ $[1, -1, 0, -583645039, 5333213238573]$ \(y^2+xy=x^3-x^2-583645039x+5333213238573\) 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.?
10010.f4 10010.f \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $16.04007018$ $[1, -1, 0, 1284241, 247487120685]$ \(y^2+xy=x^3-x^2+1284241x+247487120685\) 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, $\ldots$
10010.g1 10010.g \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -39, 1482]$ \(y^2+xy+y=x^3-39x+1482\) 3.8.0-3.a.1.2, 40040.2.0.?, 120120.16.0.?
10010.g2 10010.g \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 346, -39944]$ \(y^2+xy+y=x^3+346x-39944\) 3.8.0-3.a.1.1, 40040.2.0.?, 120120.16.0.?
10010.h1 10010.h \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -596193, 177135708]$ \(y^2+xy+y=x^3-596193x+177135708\) 3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 117.72.0.?, 40040.2.0.?, 120120.16.0.?, $\ldots$
10010.h2 10010.h \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -550568, 205395958]$ \(y^2+xy+y=x^3-550568x+205395958\) 3.24.0-3.a.1.1, 117.72.0.?, 40040.2.0.?, 120120.48.1.?, 360360.144.3.?
10010.h3 10010.h \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 4242857, -2239652102]$ \(y^2+xy+y=x^3+4242857x-2239652102\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 117.72.0.?, 40040.2.0.?, 120120.16.0.?, $\ldots$
10010.i1 10010.i \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -968, 11072]$ \(y^2+xy=x^3+x^2-968x+11072\) 2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?
10010.i2 10010.i \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -168, 29792]$ \(y^2+xy=x^3+x^2-168x+29792\) 2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.?
10010.j1 10010.j \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $2.872256729$ $[1, 1, 0, -1358, -18988]$ \(y^2+xy=x^3+x^2-1358x-18988\) 2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.?
10010.j2 10010.j \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.436128364$ $[1, 1, 0, -238, 948]$ \(y^2+xy=x^3+x^2-238x+948\) 2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.?
10010.k1 10010.k \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -106067, -11809129]$ \(y^2+xy=x^3+x^2-106067x-11809129\) 2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.?
10010.k2 10010.k \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -102637, -12698871]$ \(y^2+xy=x^3+x^2-102637x-12698871\) 2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.?
10010.l1 10010.l \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -17, -31]$ \(y^2+xy=x^3+x^2-17x-31\) 2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?
10010.l2 10010.l \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 33, -121]$ \(y^2+xy=x^3+x^2+33x-121\) 2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.?
10010.m1 10010.m \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.171527685$ $[1, 0, 0, -1001, 10105]$ \(y^2+xy=x^3-1001x+10105\) 2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.?
10010.m2 10010.m \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.343055370$ $[1, 0, 0, 119, 921]$ \(y^2+xy=x^3+119x+921\) 2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.?
10010.n1 10010.n \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -123311, -16676615]$ \(y^2+xy=x^3-123311x-16676615\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$
10010.n2 10010.n \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -118311, -18089615]$ \(y^2+xy=x^3-118311x-18089615\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$
10010.n3 10010.n \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 0, -2671, 15801]$ \(y^2+xy=x^3-2671x+15801\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$
10010.n4 10010.n \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 0, 10129, 125881]$ \(y^2+xy=x^3+10129x+125881\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$
10010.o1 10010.o \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -172690, -27636000]$ \(y^2+xy=x^3-172690x-27636000\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$
10010.o2 10010.o \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -172640, -27652790]$ \(y^2+xy=x^3-172640x-27652790\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$
10010.o3 10010.o \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 0, -2190, -35900]$ \(y^2+xy=x^3-2190x-35900\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$
10010.o4 10010.o \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 0, 2810, -174900]$ \(y^2+xy=x^3+2810x-174900\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$
10010.p1 10010.p \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 0, -5]$ \(y^2+xy+y=x^3+x^2-5\) 40040.2.0.?
10010.q1 10010.q \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -2293, 38607]$ \(y^2+xy+y=x^3-x^2-2293x+38607\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$
10010.q2 10010.q \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -543, -4093]$ \(y^2+xy+y=x^3-x^2-543x-4093\) 2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.4, 572.12.0.?, $\ldots$
10010.q3 10010.q \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -523, -4469]$ \(y^2+xy+y=x^3-x^2-523x-4469\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.y.1.1, $\ldots$
10010.q4 10010.q \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 887, -22969]$ \(y^2+xy+y=x^3-x^2+887x-22969\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 572.12.0.?, $\ldots$
10010.r1 10010.r \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $3.972846313$ $[1, -1, 1, -1803, -28369]$ \(y^2+xy+y=x^3-x^2-1803x-28369\) 2.3.0.a.1, 220.6.0.?, 364.6.0.?, 20020.12.0.?
10010.r2 10010.r \( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.986423156$ $[1, -1, 1, 17, -1433]$ \(y^2+xy+y=x^3-x^2+17x-1433\) 2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?
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