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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
62.a2 62.a \( 2 \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -31, 5]$ \(y^2+xy+y=x^3-x^2-31x+5\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 248.48.0.? $[ ]$
496.b2 496.b \( 2^{4} \cdot 31 \) $1$ $\Z/4\Z$ $1.604379946$ $[0, 0, 0, -491, 154]$ \(y^2=x^3-491x+154\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 248.48.0.? $[(-3, 40)]$
558.c2 558.c \( 2 \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -276, 134]$ \(y^2+xy=x^3-x^2-276x+134\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ $[ ]$
1550.c2 1550.c \( 2 \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.090964654$ $[1, -1, 0, -767, -109]$ \(y^2+xy=x^3-x^2-767x-109\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ $[(29, 23)]$
1922.d2 1922.d \( 2 \cdot 31^{2} \) $1$ $\Z/2\Z$ $9.445571402$ $[1, -1, 1, -29491, 79057]$ \(y^2+xy+y=x^3-x^2-29491x+79057\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 124.12.0.?, 248.48.0.? $[(-275159/40, 18635919/40)]$
1984.f2 1984.f \( 2^{6} \cdot 31 \) $1$ $\Z/2\Z$ $2.036836915$ $[0, 0, 0, -1964, -1232]$ \(y^2=x^3-1964x-1232\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 248.48.0.? $[(54, 224)]$
1984.g2 1984.g \( 2^{6} \cdot 31 \) $1$ $\Z/4\Z$ $4.039244295$ $[0, 0, 0, -1964, 1232]$ \(y^2=x^3-1964x+1232\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 248.48.0.? $[(-326/3, 4256/3)]$
3038.j2 3038.j \( 2 \cdot 7^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1504, 1201]$ \(y^2+xy+y=x^3-x^2-1504x+1201\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.1, 56.24.0-8.k.1.1, $\ldots$ $[ ]$
4464.s2 4464.s \( 2^{4} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4419, -4158]$ \(y^2=x^3-4419x-4158\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ $[ ]$
7502.b2 7502.b \( 2 \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3713, 4131]$ \(y^2+xy=x^3-x^2-3713x+4131\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ $[ ]$
10478.f2 10478.f \( 2 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -5186, -3990]$ \(y^2+xy=x^3-x^2-5186x-3990\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ $[ ]$
12400.q2 12400.q \( 2^{4} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.194111444$ $[0, 0, 0, -12275, 19250]$ \(y^2=x^3-12275x+19250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$ $[(-14, 434)]$
13950.ch2 13950.ch \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z$ $6.214584286$ $[1, -1, 1, -6905, 9847]$ \(y^2+xy+y=x^3-x^2-6905x+9847\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ $[(1949/4, 58945/4)]$
15376.o2 15376.o \( 2^{4} \cdot 31^{2} \) $1$ $\Z/2\Z$ $4.684047468$ $[0, 0, 0, -471851, -4587814]$ \(y^2=x^3-471851x-4587814\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 124.12.0.?, 248.48.0.? $[(13237/3, 1345400/3)]$
17298.g2 17298.g \( 2 \cdot 3^{2} \cdot 31^{2} \) $1$ $\Z/2\Z$ $9.111184694$ $[1, -1, 0, -265416, -1869130]$ \(y^2+xy=x^3-x^2-265416x-1869130\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 248.24.0.?, $\ldots$ $[(-4745/7, 1658635/7)]$
17856.r2 17856.r \( 2^{6} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17676, 33264]$ \(y^2=x^3-17676x+33264\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ $[ ]$
17856.s2 17856.s \( 2^{6} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17676, -33264]$ \(y^2=x^3-17676x-33264\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ $[ ]$
17918.e2 17918.e \( 2 \cdot 17^{2} \cdot 31 \) $1$ $\Z/2\Z$ $3.945347340$ $[1, -1, 1, -8869, -9605]$ \(y^2+xy+y=x^3-x^2-8869x-9605\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ $[(715/2, 15465/2)]$
22382.d2 22382.d \( 2 \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.393195134$ $[1, -1, 0, -11078, 19274]$ \(y^2+xy=x^3-x^2-11078x+19274\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 76.12.0.?, 152.24.0.?, $\ldots$ $[(-89, 587)]$
24304.q2 24304.q \( 2^{4} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.754609275$ $[0, 0, 0, -24059, -52822]$ \(y^2=x^3-24059x-52822\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.2, 56.24.0-8.k.1.2, $\ldots$ $[(-91, 1176)]$
27342.g2 27342.g \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 31 \) $2$ $\Z/2\Z$ $1.417978797$ $[1, -1, 0, -13533, -18901]$ \(y^2+xy=x^3-x^2-13533x-18901\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 84.12.0.?, 168.24.0.?, $\ldots$ $[(-61, 790), (7351/2, 621515/2)]$
32798.i2 32798.i \( 2 \cdot 23^{2} \cdot 31 \) $1$ $\Z/2\Z$ $10.52477423$ $[1, -1, 1, -16234, 33335]$ \(y^2+xy+y=x^3-x^2-16234x+33335\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 92.12.0.?, 184.24.0.?, $\ldots$ $[(-167345/78, 327611185/78)]$
48050.h2 48050.h \( 2 \cdot 5^{2} \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -737267, 9144891]$ \(y^2+xy=x^3-x^2-737267x+9144891\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 248.24.0.?, $\ldots$ $[ ]$
49600.bl2 49600.bl \( 2^{6} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z$ $7.931432270$ $[0, 0, 0, -49100, -154000]$ \(y^2=x^3-49100x-154000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ $[(26920/3, 4404700/3)]$
49600.bm2 49600.bm \( 2^{6} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.486059816$ $[0, 0, 0, -49100, 154000]$ \(y^2=x^3-49100x+154000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$ $[(-639/2, 15841/2)]$
52142.d2 52142.d \( 2 \cdot 29^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -25808, -52234]$ \(y^2+xy=x^3-x^2-25808x-52234\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 116.12.0.?, 232.24.0.?, $\ldots$ $[ ]$
60016.f2 60016.f \( 2^{4} \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -59411, -204974]$ \(y^2=x^3-59411x-204974\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ $[ ]$
61504.bd2 61504.bd \( 2^{6} \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1887404, 36702512]$ \(y^2=x^3-1887404x+36702512\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 124.12.0.?, 248.48.0.? $[ ]$
61504.be2 61504.be \( 2^{6} \cdot 31^{2} \) $1$ $\Z/2\Z$ $14.08484645$ $[0, 0, 0, -1887404, -36702512]$ \(y^2=x^3-1887404x-36702512\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 124.12.0.?, 248.48.0.? $[(275056986/437, 1273365623392/437)]$
67518.bx2 67518.bx \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -33419, -78119]$ \(y^2+xy+y=x^3-x^2-33419x-78119\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 132.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
75950.y2 75950.y \( 2 \cdot 5^{2} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.091566419$ $[1, -1, 0, -37592, 112566]$ \(y^2+xy=x^3-x^2-37592x+112566\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 140.12.0.?, 248.24.0.?, $\ldots$ $[(-1, 388)]$
83824.p2 83824.p \( 2^{4} \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -82979, 338338]$ \(y^2=x^3-82979x+338338\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ $[ ]$
84878.d2 84878.d \( 2 \cdot 31 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -42011, -111381]$ \(y^2+xy=x^3-x^2-42011x-111381\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 148.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
94178.x2 94178.x \( 2 \cdot 7^{2} \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1445044, -24226555]$ \(y^2+xy+y=x^3-x^2-1445044x-24226555\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0-8.k.1.3, 248.24.0.?, $\ldots$ $[ ]$
94302.bs2 94302.bs \( 2 \cdot 3^{2} \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -46676, 154405]$ \(y^2+xy+y=x^3-x^2-46676x+154405\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 156.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
97216.w2 97216.w \( 2^{6} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.862072583$ $[0, 0, 0, -96236, -422576]$ \(y^2=x^3-96236x-422576\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.2, 56.24.0-8.k.1.2, $\ldots$ $[(-294, 1568)]$
97216.x2 97216.x \( 2^{6} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.209062602$ $[0, 0, 0, -96236, 422576]$ \(y^2=x^3-96236x+422576\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.1, 56.24.0-8.k.1.1, $\ldots$ $[(-250, 2976)]$
104222.b2 104222.b \( 2 \cdot 31 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -51586, -152945]$ \(y^2+xy+y=x^3-x^2-51586x-152945\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 164.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
111600.dy2 111600.dy \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) $2$ $\Z/2\Z$ $2.556434277$ $[0, 0, 0, -110475, -519750]$ \(y^2=x^3-110475x-519750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ $[(445, 6200), (3421, 199144)]$
114638.d2 114638.d \( 2 \cdot 31 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -56741, 205499]$ \(y^2+xy=x^3-x^2-56741x+205499\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 172.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
136958.n2 136958.n \( 2 \cdot 31 \cdot 47^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -67789, 266771]$ \(y^2+xy+y=x^3-x^2-67789x+266771\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 188.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
138384.cm2 138384.cm \( 2^{4} \cdot 3^{2} \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4246659, 123870978]$ \(y^2=x^3-4246659x+123870978\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 248.24.0.?, $\ldots$ $[ ]$
143344.m2 143344.m \( 2^{4} \cdot 17^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -141899, 756602]$ \(y^2=x^3-141899x+756602\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$ $[ ]$
161262.c2 161262.c \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.940748156$ $[1, -1, 0, -79818, 339146]$ \(y^2+xy=x^3-x^2-79818x+339146\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 204.12.0.?, 248.24.0.?, $\ldots$ $[(-985/2, 18903/2)]$
174158.f2 174158.f \( 2 \cdot 31 \cdot 53^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -86201, -336685]$ \(y^2+xy=x^3-x^2-86201x-336685\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 212.12.0.?, 248.24.0.?, $\ldots$ $[ ]$
179056.m2 179056.m \( 2^{4} \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.200884890$ $[0, 0, 0, -177251, -1056286]$ \(y^2=x^3-177251x-1056286\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 76.12.0.?, 152.24.0.?, $\ldots$ $[(5263/3, 263530/3)]$
187550.bl2 187550.bl \( 2 \cdot 5^{2} \cdot 11^{2} \cdot 31 \) $1$ $\Z/2\Z$ $15.02069302$ $[1, -1, 1, -92830, 423547]$ \(y^2+xy+y=x^3-x^2-92830x+423547\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 220.12.0.?, 248.24.0.?, $\ldots$ $[(12936581/172, 32369478585/172)]$
201438.z2 201438.z \( 2 \cdot 3^{2} \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z$ $12.10952831$ $[1, -1, 1, -99704, -420695]$ \(y^2+xy+y=x^3-x^2-99704x-420695\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 228.12.0.?, 248.24.0.?, $\ldots$ $[(3435719/10, 6350825527/10)]$
215822.b2 215822.b \( 2 \cdot 31 \cdot 59^{2} \) $1$ $\Z/2\Z$ $3.293678052$ $[1, -1, 0, -106823, 520899]$ \(y^2+xy=x^3-x^2-106823x+520899\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 236.12.0.?, 248.24.0.?, $\ldots$ $[(-55, 2523)]$
218736.bg2 218736.bg \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -216531, 1426194]$ \(y^2=x^3-216531x+1426194\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 84.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
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