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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
58870.a1 58870.a \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $41.80105862$ $[1, 0, 1, -782989, -323046264]$ \(y^2+xy+y=x^3-782989x-323046264\) 3.8.0-3.a.1.1, 280.2.0.?, 840.16.0.?
58870.a2 58870.a \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/3\Z$ $13.93368620$ $[1, 0, 1, 70626, 3376112]$ \(y^2+xy+y=x^3+70626x+3376112\) 3.8.0-3.a.1.2, 280.2.0.?, 840.16.0.?
58870.b1 58870.b \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $17.33947090$ $[1, 0, 1, -30805848, -66960671962]$ \(y^2+xy+y=x^3-30805848x-66960671962\) 40.2.0.a.1
58870.c1 58870.c \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.591387919$ $[1, 0, 1, -18, 338]$ \(y^2+xy+y=x^3-18x+338\) 280.2.0.?
58870.d1 58870.d \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $4.177398592$ $[1, -1, 0, -225125, -41055189]$ \(y^2+xy=x^3-x^2-225125x-41055189\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 116.12.0.?, $\ldots$
58870.d2 58870.d \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $4.177398592$ $[1, -1, 0, -73745, 7221575]$ \(y^2+xy=x^3-x^2-73745x+7221575\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 232.24.0.?, $\ldots$
58870.d3 58870.d \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.088699296$ $[1, -1, 0, -14875, -561039]$ \(y^2+xy=x^3-x^2-14875x-561039\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 116.12.0.?, $\ldots$
58870.d4 58870.d \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $1.044349648$ $[1, -1, 0, 1945, -53075]$ \(y^2+xy=x^3-x^2+1945x-53075\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
58870.e1 58870.e \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -3669020, -2709759280]$ \(y^2+xy=x^3-x^2-3669020x-2709759280\) 40.2.0.a.1
58870.f1 58870.f \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $3.278029291$ $[1, -1, 0, -9522380, 14818127240]$ \(y^2+xy=x^3-x^2-9522380x+14818127240\) 280.2.0.?
58870.g1 58870.g \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -76790, 8266300]$ \(y^2+xy=x^3-x^2-76790x+8266300\) 40.2.0.a.1
58870.h1 58870.h \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $8.330437216$ $[1, -1, 0, -2352014, -1387826702]$ \(y^2+xy=x^3-x^2-2352014x-1387826702\) 280.2.0.?
58870.i1 58870.i \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -133, 717]$ \(y^2+xy=x^3+x^2-133x+717\) 3.4.0.a.1, 40.2.0.a.1, 87.8.0.?, 120.8.0.?, 3480.16.0.?
58870.i2 58870.i \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 1027, -7867]$ \(y^2+xy=x^3+x^2+1027x-7867\) 3.4.0.a.1, 40.2.0.a.1, 87.8.0.?, 120.8.0.?, 3480.16.0.?
58870.j1 58870.j \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $3.616936041$ $[1, 1, 0, -197652, 753942224]$ \(y^2+xy=x^3+x^2-197652x+753942224\) 40.2.0.a.1
58870.k1 58870.k \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $9.704477596$ $[1, 1, 0, -437420937, -3521435755039]$ \(y^2+xy=x^3+x^2-437420937x-3521435755039\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 28.6.0.c.1, 58.6.0.a.1, $\ldots$
58870.k2 58870.k \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $19.40895519$ $[1, 1, 0, -27197957, -55625886211]$ \(y^2+xy=x^3+x^2-27197957x-55625886211\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 14.6.0.b.1, $\ldots$
58870.k3 58870.k \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $3.234825865$ $[1, 1, 0, -6408437, -2904107539]$ \(y^2+xy=x^3+x^2-6408437x-2904107539\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 28.6.0.c.1, 58.6.0.a.1, $\ldots$
58870.k4 58870.k \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $6.469651731$ $[1, 1, 0, 1396043, -339555411]$ \(y^2+xy=x^3+x^2+1396043x-339555411\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 14.6.0.b.1, $\ldots$
58870.l1 58870.l \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $6.436461451$ $[1, -1, 0, 3623291, 13209843413]$ \(y^2+xy=x^3-x^2+3623291x+13209843413\) 8.2.0.a.1
58870.m1 58870.m \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.061917470$ $[1, -1, 1, 4308, 540591]$ \(y^2+xy+y=x^3-x^2+4308x+540591\) 8.2.0.a.1
58870.n1 58870.n \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\Z/3\Z$ $1$ $[1, 0, 0, -112291, 18832641]$ \(y^2+xy=x^3-112291x+18832641\) 3.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.?
58870.n2 58870.n \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 863269, -202229255]$ \(y^2+xy=x^3+863269x-202229255\) 3.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.?
58870.o1 58870.o \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.089488163$ $[1, 0, 0, -235, 30897]$ \(y^2+xy=x^3-235x+30897\) 40.2.0.a.1
58870.p1 58870.p \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -64580548, 201154727247]$ \(y^2+xy+y=x^3-x^2-64580548x+201154727247\) 40.2.0.a.1
58870.q1 58870.q \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.520056053$ $[1, -1, 1, -11323, 610307]$ \(y^2+xy+y=x^3-x^2-11323x+610307\) 280.2.0.?
58870.r1 58870.r \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -4363, -110053]$ \(y^2+xy+y=x^3-x^2-4363x-110053\) 40.2.0.a.1
58870.s1 58870.s \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $9.196057810$ $[1, -1, 1, -2797, -56229]$ \(y^2+xy+y=x^3-x^2-2797x-56229\) 280.2.0.?
58870.t1 58870.t \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $12.49876484$ $[1, -1, 1, -642682, 198125421]$ \(y^2+xy+y=x^3-x^2-642682x+198125421\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 116.12.0.?, 140.12.0.?, $\ldots$
58870.t2 58870.t \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z$ $3.124691212$ $[1, -1, 1, -541762, -152564851]$ \(y^2+xy+y=x^3-x^2-541762x-152564851\) 2.3.0.a.1, 4.12.0-4.c.1.2, 58.6.0.a.1, 116.24.0.?, 280.24.0.?, $\ldots$
58870.t3 58870.t \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.249382424$ $[1, -1, 1, -53982, 793181]$ \(y^2+xy+y=x^3-x^2-53982x+793181\) 2.6.0.a.1, 4.12.0-2.a.1.1, 116.24.0.?, 140.24.0.?, 4060.48.0.?
58870.t4 58870.t \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\Z/4\Z$ $12.49876484$ $[1, -1, 1, 13298, 93469]$ \(y^2+xy+y=x^3-x^2+13298x+93469\) 2.3.0.a.1, 4.12.0-4.c.1.1, 232.24.0.?, 280.24.0.?, 2030.6.0.?, $\ldots$
58870.u1 58870.u \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.956187420$ $[1, 1, 1, -931, -13631]$ \(y^2+xy+y=x^3+x^2-931x-13631\) 3.4.0.a.1, 87.8.0.?, 280.2.0.?, 840.8.0.?, 24360.16.0.?
58870.u2 58870.u \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $0.652062473$ $[1, 1, 1, 84, 173]$ \(y^2+xy+y=x^3+x^2+84x+173\) 3.4.0.a.1, 87.8.0.?, 280.2.0.?, 840.8.0.?, 24360.16.0.?
58870.v1 58870.v \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $46.30213388$ $[1, 1, 1, -14735, 8279035]$ \(y^2+xy+y=x^3+x^2-14735x+8279035\) 280.2.0.?
58870.w1 58870.w \( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.546745847$ $[1, 1, 1, -36630, -2760685]$ \(y^2+xy+y=x^3+x^2-36630x-2760685\) 40.2.0.a.1
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