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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
12495.a1 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -3515261, 2530405814]$ \(y^2+xy+y=x^3+x^2-3515261x+2530405814\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 24.48.0-8.bb.2.3, $\ldots$
12495.a2 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -299636, 8069564]$ \(y^2+xy+y=x^3+x^2-299636x+8069564\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 24.48.0-8.e.1.8, $\ldots$
12495.a3 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -191591, -32209612]$ \(y^2+xy+y=x^3+x^2-191591x-32209612\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.8, 28.24.0-4.b.1.3, $\ldots$
12495.a4 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -191346, -32296146]$ \(y^2+xy+y=x^3+x^2-191346x-32296146\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.8, $\ldots$
12495.a5 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -87466, -66945712]$ \(y^2+xy+y=x^3+x^2-87466x-66945712\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0-4.c.1.2, 48.48.0-8.bb.1.8, $\ldots$
12495.a6 12495.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 1187269, 65761478]$ \(y^2+xy+y=x^3+x^2+1187269x+65761478\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$
12495.b1 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1135331, 465139898]$ \(y^2+xy+y=x^3+x^2-1135331x+465139898\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0-8.n.1.3, $\ldots$
12495.b2 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -280526, -57304276]$ \(y^2+xy+y=x^3+x^2-280526x-57304276\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.8, 28.12.0-4.c.1.2, $\ldots$
12495.b3 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -73256, 6748328]$ \(y^2+xy+y=x^3+x^2-73256x+6748328\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 28.24.0-4.b.1.1, 40.24.0-4.b.1.2, $\ldots$
12495.b4 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -18131, -836872]$ \(y^2+xy+y=x^3+x^2-18131x-836872\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 28.24.0-4.b.1.3, 40.24.0-4.b.1.3, $\ldots$
12495.b5 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 1714, -66886]$ \(y^2+xy+y=x^3+x^2+1714x-66886\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0-8.n.1.8, $\ldots$
12495.b6 12495.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 106819, 34912058]$ \(y^2+xy+y=x^3+x^2+106819x+34912058\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.7, 28.12.0-4.c.1.1, $\ldots$
12495.c1 12495.c \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -82615, -9173830]$ \(y^2+xy+y=x^3+x^2-82615x-9173830\) 2.3.0.a.1, 4.12.0-4.c.1.2, 140.24.0.?, 680.24.0.?, 952.24.0.?, $\ldots$
12495.c2 12495.c \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -26265, 1512090]$ \(y^2+xy+y=x^3+x^2-26265x+1512090\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 170.6.0.?, $\ldots$
12495.c3 12495.c \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -5440, -128920]$ \(y^2+xy+y=x^3+x^2-5440x-128920\) 2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 340.24.0.?, 476.24.0.?, $\ldots$
12495.c4 12495.c \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, 685, -11320]$ \(y^2+xy+y=x^3+x^2+685x-11320\) 2.3.0.a.1, 4.12.0-4.c.1.1, 238.6.0.?, 280.24.0.?, 476.24.0.?, $\ldots$
12495.d1 12495.d \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.679412546$ $[1, 0, 0, -49736, -3298695]$ \(y^2+xy=x^3-49736x-3298695\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 60.12.0.h.1, 136.12.0.?, $\ldots$
12495.d2 12495.d \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.839706273$ $[1, 0, 0, -16661, 782760]$ \(y^2+xy=x^3-16661x+782760\) 2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 420.24.0.?, $\ldots$
12495.d3 12495.d \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.679412546$ $[1, 0, 0, -16416, 808191]$ \(y^2+xy=x^3-16416x+808191\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 68.12.0-4.c.1.2, 120.12.0.?, $\ldots$
12495.d4 12495.d \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $0.419853136$ $[1, 0, 0, 12494, 3237611]$ \(y^2+xy=x^3+12494x+3237611\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 68.12.0-4.c.1.1, 120.12.0.?, $\ldots$
12495.e1 12495.e \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.314677625$ $[1, 0, 0, -2998850, 1998600225]$ \(y^2+xy=x^3-2998850x+1998600225\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$
12495.e2 12495.e \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $0.328669406$ $[1, 0, 0, -233780, 14595027]$ \(y^2+xy=x^3-233780x+14595027\) 2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 408.24.0.?, $\ldots$
12495.e3 12495.e \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.657338812$ $[1, 0, 0, -187475, 31200000]$ \(y^2+xy=x^3-187475x+31200000\) 2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 204.24.0.?, 476.24.0.?, $\ldots$
12495.e4 12495.e \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/4\Z$ $1.314677625$ $[1, 0, 0, -8870, 729987]$ \(y^2+xy=x^3-8870x+729987\) 2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 238.6.0.?, 408.24.0.?, $\ldots$
12495.f1 12495.f \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $0.370912412$ $[0, -1, 1, -606685, 182085756]$ \(y^2+y=x^3-x^2-606685x+182085756\) 3.4.0.a.1, 21.8.0-3.a.1.2, 510.8.0.?, 1190.2.0.?, 3570.16.0.?
12495.f2 12495.f \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $1.112737238$ $[0, -1, 1, -6925, 291003]$ \(y^2+y=x^3-x^2-6925x+291003\) 3.4.0.a.1, 21.8.0-3.a.1.1, 510.8.0.?, 1190.2.0.?, 3570.16.0.?
12495.g1 12495.g \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $1.371222597$ $[0, 1, 1, -1731, -41569]$ \(y^2+y=x^3+x^2-1731x-41569\) 1190.2.0.?
12495.h1 12495.h \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -233232715, -1371284647694]$ \(y^2+y=x^3+x^2-233232715x-1371284647694\) 1190.2.0.?
12495.i1 12495.i \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $4.957486404$ $[1, 1, 0, -61295938, 163572097417]$ \(y^2+xy=x^3+x^2-61295938x+163572097417\) 2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?
12495.i2 12495.i \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $2.478743202$ $[1, 1, 0, 5680937, 13235803792]$ \(y^2+xy=x^3+x^2+5680937x+13235803792\) 2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.?
12495.j1 12495.j \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1089197, 437075724]$ \(y^2+xy=x^3+x^2-1089197x+437075724\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$
12495.j2 12495.j \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -181227, -20846034]$ \(y^2+xy=x^3+x^2-181227x-20846034\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$
12495.j3 12495.j \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -68772, 6660459]$ \(y^2+xy=x^3+x^2-68772x+6660459\) 2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$
12495.j4 12495.j \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 2033, 387136]$ \(y^2+xy=x^3+x^2+2033x+387136\) 2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$
12495.k1 12495.k \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -669022, -210508619]$ \(y^2+xy=x^3+x^2-669022x-210508619\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$
12495.k2 12495.k \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -577392, 167828319]$ \(y^2+xy=x^3+x^2-577392x+167828319\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$
12495.k3 12495.k \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -56767, -750056]$ \(y^2+xy=x^3+x^2-56767x-750056\) 2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$
12495.k4 12495.k \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 14038, -84489]$ \(y^2+xy=x^3+x^2+14038x-84489\) 2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$
12495.l1 12495.l \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -3799, 89471]$ \(y^2+xy+y=x^3-3799x+89471\) 2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?
12495.l2 12495.l \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -124, 2741]$ \(y^2+xy+y=x^3-124x+2741\) 2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.?
12495.m1 12495.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $7.465169004$ $[1, 0, 1, -14579, -663169]$ \(y^2+xy+y=x^3-14579x-663169\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 204.12.0.?, $\ldots$
12495.m2 12495.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.732584502$ $[1, 0, 1, -2084, 21557]$ \(y^2+xy+y=x^3-2084x+21557\) 2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 140.24.0.?, 204.12.0.?, $\ldots$
12495.m3 12495.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $7.465169004$ $[1, 0, 1, -1839, 30181]$ \(y^2+xy+y=x^3-1839x+30181\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$
12495.m4 12495.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.866292251$ $[1, 0, 1, 6491, 155327]$ \(y^2+xy+y=x^3+6491x+155327\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$
12495.n1 12495.n \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/4\Z$ $3.650558912$ $[1, 0, 1, -156238, 23755001]$ \(y^2+xy+y=x^3-156238x+23755001\) 2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 2040.24.0.?, 2380.24.0.?, $\ldots$
12495.n2 12495.n \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $0.912639728$ $[1, 0, 1, -56768, -4945867]$ \(y^2+xy+y=x^3-56768x-4945867\) 2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 2040.24.0.?, $\ldots$
12495.n3 12495.n \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.825279456$ $[1, 0, 1, -10463, 314381]$ \(y^2+xy+y=x^3-10463x+314381\) 2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1020.24.0.?, 2380.24.0.?, $\ldots$
12495.n4 12495.n \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $3.650558912$ $[1, 0, 1, 1542, 31063]$ \(y^2+xy+y=x^3+1542x+31063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$
12495.o1 12495.o \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -29328, 1574563]$ \(y^2+xy+y=x^3-29328x+1574563\) 2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?
12495.o2 12495.o \( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 3747, 145723]$ \(y^2+xy+y=x^3+3747x+145723\) 2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.?
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