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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
62.a3 62.a \( 2 \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -21, 41]$ \(y^2+xy+y=x^3-x^2-21x+41\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.?
496.b3 496.b \( 2^{4} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.208759892$ $[0, 0, 0, -331, -2310]$ \(y^2=x^3-331x-2310\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 124.24.0.?, 248.48.0.?
558.c3 558.c \( 2 \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -186, -928]$ \(y^2+xy=x^3-x^2-186x-928\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 124.12.0.?, $\ldots$
1550.c3 1550.c \( 2 \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.045482327$ $[1, -1, 0, -517, 4641]$ \(y^2+xy=x^3-x^2-517x+4641\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 124.12.0.?, $\ldots$
1922.d3 1922.d \( 2 \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $18.89114280$ $[1, -1, 1, -19881, -1070299]$ \(y^2+xy+y=x^3-x^2-19881x-1070299\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 124.24.0.?, 248.48.0.?
1984.f3 1984.f \( 2^{6} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.073673831$ $[0, 0, 0, -1324, 18480]$ \(y^2=x^3-1324x+18480\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.?
1984.g3 1984.g \( 2^{6} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.078488591$ $[0, 0, 0, -1324, -18480]$ \(y^2=x^3-1324x-18480\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 124.24.0.?, 248.48.0.?
3038.j3 3038.j \( 2 \cdot 7^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -1014, -12127]$ \(y^2+xy+y=x^3-x^2-1014x-12127\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.2, 124.12.0.?, $\ldots$
4464.s3 4464.s \( 2^{4} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -2979, 62370]$ \(y^2=x^3-2979x+62370\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 124.12.0.?, $\ldots$
7502.b3 7502.b \( 2 \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -2503, -47415]$ \(y^2+xy=x^3-x^2-2503x-47415\) 2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$
10478.f3 10478.f \( 2 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -3496, 80172]$ \(y^2+xy=x^3-x^2-3496x+80172\) 2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 124.12.0.?, $\ldots$
12400.q3 12400.q \( 2^{4} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.388222889$ $[0, 0, 0, -8275, -288750]$ \(y^2=x^3-8275x-288750\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.1, 124.12.0.?, $\ldots$
13950.ch3 13950.ch \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.107292143$ $[1, -1, 1, -4655, -120653]$ \(y^2+xy+y=x^3-x^2-4655x-120653\) 2.6.0.a.1, 8.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, 124.12.0.?, $\ldots$
15376.o3 15376.o \( 2^{4} \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $9.368094936$ $[0, 0, 0, -318091, 68817210]$ \(y^2=x^3-318091x+68817210\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 124.24.0.?, 248.48.0.?
17298.g3 17298.g \( 2 \cdot 3^{2} \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.555592347$ $[1, -1, 0, -178926, 29076992]$ \(y^2+xy=x^3-x^2-178926x+29076992\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 124.12.0.?, $\ldots$
17856.r3 17856.r \( 2^{6} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -11916, -498960]$ \(y^2=x^3-11916x-498960\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 124.12.0.?, $\ldots$
17856.s3 17856.s \( 2^{6} \cdot 3^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -11916, 498960]$ \(y^2=x^3-11916x+498960\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 124.12.0.?, $\ldots$
17918.e3 17918.e \( 2 \cdot 17^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.890694680$ $[1, -1, 1, -5979, 178823]$ \(y^2+xy+y=x^3-x^2-5979x+178823\) 2.6.0.a.1, 8.12.0.a.1, 68.12.0-2.a.1.1, 124.12.0.?, 136.24.0.?, $\ldots$
22382.d3 22382.d \( 2 \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.786390268$ $[1, -1, 0, -7468, -245700]$ \(y^2+xy=x^3-x^2-7468x-245700\) 2.6.0.a.1, 8.12.0.a.1, 76.12.0.?, 124.12.0.?, 152.24.0.?, $\ldots$
24304.q3 24304.q \( 2^{4} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.509218551$ $[0, 0, 0, -16219, 792330]$ \(y^2=x^3-16219x+792330\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 124.12.0.?, $\ldots$
27342.g3 27342.g \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 31 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $1.417978797$ $[1, -1, 0, -9123, 336545]$ \(y^2+xy=x^3-x^2-9123x+336545\) 2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 124.12.0.?, 168.24.0.?, $\ldots$
32798.i3 32798.i \( 2 \cdot 23^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $21.04954846$ $[1, -1, 1, -10944, -436417]$ \(y^2+xy+y=x^3-x^2-10944x-436417\) 2.6.0.a.1, 8.12.0.a.1, 92.12.0.?, 124.12.0.?, 184.24.0.?, $\ldots$
48050.h3 48050.h \( 2 \cdot 5^{2} \cdot 31^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -497017, -134284359]$ \(y^2+xy=x^3-x^2-497017x-134284359\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.3, 124.12.0.?, $\ldots$
49600.bl3 49600.bl \( 2^{6} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.965716135$ $[0, 0, 0, -33100, 2310000]$ \(y^2=x^3-33100x+2310000\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 124.12.0.?, $\ldots$
49600.bm3 49600.bm \( 2^{6} \cdot 5^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.972119633$ $[0, 0, 0, -33100, -2310000]$ \(y^2=x^3-33100x-2310000\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.1, 124.12.0.?, $\ldots$
52142.d3 52142.d \( 2 \cdot 29^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -17398, 884640]$ \(y^2+xy=x^3-x^2-17398x+884640\) 2.6.0.a.1, 8.12.0.a.1, 116.12.0.?, 124.12.0.?, 232.24.0.?, $\ldots$
60016.f3 60016.f \( 2^{4} \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -40051, 3074610]$ \(y^2=x^3-40051x+3074610\) 2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$
61504.bd3 61504.bd \( 2^{6} \cdot 31^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -1272364, -550537680]$ \(y^2=x^3-1272364x-550537680\) 2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 124.24.0.?, 248.48.0.?
61504.be3 61504.be \( 2^{6} \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $28.16969291$ $[0, 0, 0, -1272364, 550537680]$ \(y^2=x^3-1272364x+550537680\) 2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 124.24.0.?, 248.48.0.?
67518.bx3 67518.bx \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -22529, 1302733]$ \(y^2+xy+y=x^3-x^2-22529x+1302733\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 132.12.0.?, 248.24.0.?, $\ldots$
75950.y3 75950.y \( 2 \cdot 5^{2} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.183132839$ $[1, -1, 0, -25342, -1541184]$ \(y^2+xy=x^3-x^2-25342x-1541184\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 140.12.0.?, 248.24.0.?, $\ldots$
83824.p3 83824.p \( 2^{4} \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -55939, -5075070]$ \(y^2=x^3-55939x-5075070\) 2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 124.12.0.?, $\ldots$
84878.d3 84878.d \( 2 \cdot 31 \cdot 37^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -28321, 1835337]$ \(y^2+xy=x^3-x^2-28321x+1835337\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 148.12.0.?, 248.24.0.?, $\ldots$
94178.x3 94178.x \( 2 \cdot 7^{2} \cdot 31^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -974154, 369060773]$ \(y^2+xy+y=x^3-x^2-974154x+369060773\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.3, 124.12.0.?, $\ldots$
94302.bs3 94302.bs \( 2 \cdot 3^{2} \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -31466, -2133179]$ \(y^2+xy+y=x^3-x^2-31466x-2133179\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 156.12.0.?, 248.24.0.?, $\ldots$
97216.w3 97216.w \( 2^{6} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.724145166$ $[0, 0, 0, -64876, 6338640]$ \(y^2=x^3-64876x+6338640\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 124.12.0.?, $\ldots$
97216.x3 97216.x \( 2^{6} \cdot 7^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.418125204$ $[0, 0, 0, -64876, -6338640]$ \(y^2=x^3-64876x-6338640\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.2, 124.12.0.?, $\ldots$
104222.b3 104222.b \( 2 \cdot 31 \cdot 41^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -34776, 2496311]$ \(y^2+xy+y=x^3-x^2-34776x+2496311\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 164.12.0.?, 248.24.0.?, $\ldots$
111600.dy3 111600.dy \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.556434277$ $[0, 0, 0, -74475, 7796250]$ \(y^2=x^3-74475x+7796250\) 2.6.0.a.1, 8.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, 124.12.0.?, $\ldots$
114638.d3 114638.d \( 2 \cdot 31 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -38251, -2860143]$ \(y^2+xy=x^3-x^2-38251x-2860143\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 172.12.0.?, 248.24.0.?, $\ldots$
136958.n3 136958.n \( 2 \cdot 31 \cdot 47^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -45699, -3735937]$ \(y^2+xy+y=x^3-x^2-45699x-3735937\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 188.12.0.?, 248.24.0.?, $\ldots$
138384.cm3 138384.cm \( 2^{4} \cdot 3^{2} \cdot 31^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -2862819, -1858064670]$ \(y^2=x^3-2862819x-1858064670\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 124.12.0.?, $\ldots$
143344.m3 143344.m \( 2^{4} \cdot 17^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -95659, -11349030]$ \(y^2=x^3-95659x-11349030\) 2.6.0.a.1, 8.12.0.a.1, 68.12.0-2.a.1.1, 124.12.0.?, 136.24.0.?, $\ldots$
161262.c3 161262.c \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.881496312$ $[1, -1, 0, -53808, -4774420]$ \(y^2+xy=x^3-x^2-53808x-4774420\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 204.12.0.?, 248.24.0.?, $\ldots$
174158.f3 174158.f \( 2 \cdot 31 \cdot 53^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -58111, 5388057]$ \(y^2+xy=x^3-x^2-58111x+5388057\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 212.12.0.?, 248.24.0.?, $\ldots$
179056.m3 179056.m \( 2^{4} \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.600442445$ $[0, 0, 0, -119491, 15844290]$ \(y^2=x^3-119491x+15844290\) 2.6.0.a.1, 8.12.0.a.1, 76.12.0.?, 124.12.0.?, 152.24.0.?, $\ldots$
187550.bl3 187550.bl \( 2 \cdot 5^{2} \cdot 11^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.510346514$ $[1, -1, 1, -62580, -5989453]$ \(y^2+xy+y=x^3-x^2-62580x-5989453\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 220.12.0.?, 248.24.0.?, $\ldots$
201438.z3 201438.z \( 2 \cdot 3^{2} \cdot 19^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.054764159$ $[1, -1, 1, -67214, 6701113]$ \(y^2+xy+y=x^3-x^2-67214x+6701113\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 228.12.0.?, 248.24.0.?, $\ldots$
215822.b3 215822.b \( 2 \cdot 31 \cdot 59^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.587356104$ $[1, -1, 0, -72013, -7394895]$ \(y^2+xy=x^3-x^2-72013x-7394895\) 2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 236.12.0.?, 248.24.0.?, $\ldots$
218736.bg3 218736.bg \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -145971, -21392910]$ \(y^2=x^3-145971x-21392910\) 2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 124.12.0.?, 168.24.0.?, $\ldots$
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