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Results (50 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
630.a1 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -17287200, 27669604050]$ \(y^2+xy=x^3-x^2-17287200x+27669604050\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.8, 12.12.0-4.c.1.1, 16.96.0-16.v.2.12, $\ldots$
630.a2 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -1080450, 432540000]$ \(y^2+xy=x^3-x^2-1080450x+432540000\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.l.1.3, 12.24.0-4.b.1.1, 24.192.1-24.ch.1.4, $\ldots$
630.a3 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1073700, 438205950]$ \(y^2+xy=x^3-x^2-1073700x+438205950\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.7, 12.12.0-4.c.1.1, 16.96.0-16.v.2.11, $\ldots$
630.a4 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -135630, -19186524]$ \(y^2+xy=x^3-x^2-135630x-19186524\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.v.1, $\ldots$
630.a5 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -67950, 6682500]$ \(y^2+xy=x^3-x^2-67950x+6682500\) 2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.c.1.7, 12.48.0-4.b.1.1, 24.192.1-24.w.2.4, $\ldots$
630.a6 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -9630, -210924]$ \(y^2+xy=x^3-x^2-9630x-210924\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 12.24.0-4.b.1.3, 16.96.0-8.l.2.5, $\ldots$
630.a7 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 1890, -24300]$ \(y^2+xy=x^3-x^2+1890x-24300\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$
630.a8 630.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 11430, 21304296]$ \(y^2+xy=x^3-x^2+11430x+21304296\) 2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.q.1.1, 12.24.0-4.d.1.1, 16.96.0-16.j.1.8, $\ldots$
630.b1 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $1.247313085$ $[1, -1, 0, -151200, 22667386]$ \(y^2+xy=x^3-x^2-151200x+22667386\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$
630.b2 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.623656542$ $[1, -1, 0, -9450, 355936]$ \(y^2+xy=x^3-x^2-9450x+355936\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$
630.b3 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $1.247313085$ $[1, -1, 0, -8820, 404950]$ \(y^2+xy=x^3-x^2-8820x+404950\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$
630.b4 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.155914135$ $[1, -1, 0, -3330, -69080]$ \(y^2+xy=x^3-x^2-3330x-69080\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$
630.b5 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.311828271$ $[1, -1, 0, -630, 4900]$ \(y^2+xy=x^3-x^2-630x+4900\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 20.24.0-4.b.1.2, $\ldots$
630.b6 630.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.623656542$ $[1, -1, 0, 90, 436]$ \(y^2+xy=x^3-x^2+90x+436\) 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, $\ldots$
630.c1 630.c \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -420, -2800]$ \(y^2+xy=x^3-x^2-420x-2800\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cc.1.13, 210.48.0.?, $\ldots$
630.c2 630.c \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -105, 441]$ \(y^2+xy=x^3-x^2-105x+441\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cc.1.15, 210.48.0.?, $\ldots$
630.c3 630.c \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -75, 675]$ \(y^2+xy=x^3-x^2-75x+675\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cb.1.15, 280.6.0.?, $\ldots$
630.c4 630.c \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 660, -15544]$ \(y^2+xy=x^3-x^2+660x-15544\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cb.1.11, 280.6.0.?, $\ldots$
630.d1 630.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.452516299$ $[1, -1, 0, -2409, 46115]$ \(y^2+xy=x^3-x^2-2409x+46115\) 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, $\ldots$
630.d2 630.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.452516299$ $[1, -1, 0, -789, -7777]$ \(y^2+xy=x^3-x^2-789x-7777\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 56.24.0.bp.1, $\ldots$
630.d3 630.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.226258149$ $[1, -1, 0, -159, 665]$ \(y^2+xy=x^3-x^2-159x+665\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 28.12.0.b.1, $\ldots$
630.d4 630.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $1$ $\Z/2\Z$ $0.452516299$ $[1, -1, 0, 21, 53]$ \(y^2+xy=x^3-x^2+21x+53\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$
630.e1 630.e \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -5124, 142160]$ \(y^2+xy=x^3-x^2-5124x+142160\) 2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?
630.e2 630.e \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3204, 248528]$ \(y^2+xy=x^3-x^2-3204x+248528\) 2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.?
630.f1 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -58059, -3373137]$ \(y^2+xy=x^3-x^2-58059x-3373137\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$
630.f2 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -51849, -4531275]$ \(y^2+xy=x^3-x^2-51849x-4531275\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
630.f3 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/6\Z$ $1$ $[1, -1, 0, -24309, 1426113]$ \(y^2+xy=x^3-x^2-24309x+1426113\) 2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 20.12.0-2.a.1.1, 24.96.0-24.o.2.27, $\ldots$
630.f4 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -24129, 1448685]$ \(y^2+xy=x^3-x^2-24129x+1448685\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$
630.f5 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -3249, -69795]$ \(y^2+xy=x^3-x^2-3249x-69795\) 2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 20.12.0-2.a.1.1, 24.96.0-24.o.1.31, $\ldots$
630.f6 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -729, -177147]$ \(y^2+xy=x^3-x^2-729x-177147\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
630.f7 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -369, 1053]$ \(y^2+xy=x^3-x^2-369x+1053\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
630.f8 630.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, 6561, 4778595]$ \(y^2+xy=x^3-x^2+6561x+4778595\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$
630.g1 630.g \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -46118, -3792203]$ \(y^2+xy+y=x^3-x^2-46118x-3792203\) 2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?
630.g2 630.g \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -28838, -6681419]$ \(y^2+xy+y=x^3-x^2-28838x-6681419\) 2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.?
630.h1 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -3161093, 2164026557]$ \(y^2+xy+y=x^3-x^2-3161093x+2164026557\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.4.5, $\ldots$
630.h2 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/6\Z$ $1$ $[1, -1, 1, -197573, 33848381]$ \(y^2+xy+y=x^3-x^2-197573x+33848381\) 2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 12.96.0-12.a.2.13, 20.12.0.a.1, $\ldots$
630.h3 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -183173, 38980541]$ \(y^2+xy+y=x^3-x^2-183173x+38980541\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$
630.h4 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -39218, 2946557]$ \(y^2+xy+y=x^3-x^2-39218x+2946557\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$
630.h5 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -13253, 449597]$ \(y^2+xy+y=x^3-x^2-13253x+449597\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$
630.h6 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -5198, -74419]$ \(y^2+xy+y=x^3-x^2-5198x-74419\) 2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 20.12.0.a.1, $\ldots$
630.h7 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -4478, -114163]$ \(y^2+xy+y=x^3-x^2-4478x-114163\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
630.h8 630.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 17302, -560419]$ \(y^2+xy+y=x^3-x^2+17302x-560419\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$
630.i1 630.i \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -3362, -74181]$ \(y^2+xy+y=x^3-x^2-3362x-74181\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 280.24.0.?, $\ldots$
630.i2 630.i \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -212, -1101]$ \(y^2+xy+y=x^3-x^2-212x-1101\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 280.24.0.?, 420.24.0.?, $\ldots$
630.i3 630.i \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/4\Z$ $1$ $[1, -1, 1, -32, 51]$ \(y^2+xy+y=x^3-x^2-32x+51\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 210.6.0.?, 280.24.0.?, $\ldots$
630.i4 630.i \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 58, -3909]$ \(y^2+xy+y=x^3-x^2+58x-3909\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 280.24.0.?, 840.48.0.?
630.j1 630.j \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -947, -10961]$ \(y^2+xy+y=x^3-x^2-947x-10961\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cc.1.13, 210.48.0.?, $\ldots$
630.j2 630.j \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -677, -17549]$ \(y^2+xy+y=x^3-x^2-677x-17549\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cb.1.11, 280.6.0.?, $\ldots$
630.j3 630.j \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -47, 119]$ \(y^2+xy+y=x^3-x^2-47x+119\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cc.1.15, 210.48.0.?, $\ldots$
630.j4 630.j \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, 73, 551]$ \(y^2+xy+y=x^3-x^2+73x+551\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cb.1.15, 280.6.0.?, $\ldots$
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