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Results (26 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
2730.z4 2730.z \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -18136, -3581890]$ \(y^2+xy=x^3-18136x-3581890\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$ $[ ]$
8190.v4 8190.v \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -163224, 96711030]$ \(y^2+xy=x^3-x^2-163224x+96711030\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 56.12.0.v.1, $\ldots$ $[ ]$
13650.g4 13650.g \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -453400, -447736250]$ \(y^2+xy=x^3+x^2-453400x-447736250\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$ $[ ]$
19110.ce4 19110.ce \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.260969243$ $[1, 1, 1, -888665, 1227699605]$ \(y^2+xy+y=x^3+x^2-888665x+1227699605\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 120.24.0.?, 840.48.0.? $[(6727/2, 529519/2)]$
21840.c4 21840.c \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -290176, 229240960]$ \(y^2=x^3-x^2-290176x+229240960\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$ $[ ]$
35490.bp4 35490.bp \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.284606108$ $[1, 0, 1, -3064988, -7866347344]$ \(y^2+xy+y=x^3-3064988x-7866347344\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 104.12.0.?, 120.12.0.?, $\ldots$ $[(2640, 48112)]$
40950.dn4 40950.dn \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -4080605, 12084798147]$ \(y^2+xy+y=x^3-x^2-4080605x+12084798147\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.v.1.7, 120.24.0.?, $\ldots$ $[ ]$
57330.w4 57330.w \( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -7997985, -33155887325]$ \(y^2+xy=x^3-x^2-7997985x-33155887325\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 56.12.0.v.1, $\ldots$ $[ ]$
65520.ck4 65520.ck \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2611587, -6186894334]$ \(y^2=x^3-2611587x-6186894334\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 56.12.0.v.1, $\ldots$ $[ ]$
87360.df4 87360.df \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1160705, -1832766975]$ \(y^2=x^3-x^2-1160705x-1832766975\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 120.24.0.?, 840.48.0.? $[ ]$
87360.ge4 87360.ge \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/4\Z$ $1.787563194$ $[0, 1, 0, -1160705, 1832766975]$ \(y^2=x^3+x^2-1160705x+1832766975\) 2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 120.24.0.?, 840.48.0.? $[(-65, 43680)]$
95550.ep4 95550.ep \( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.612736177$ $[1, 0, 1, -22216626, 153506883898]$ \(y^2+xy+y=x^3-22216626x+153506883898\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$ $[(-808, 413841)]$
106470.do4 106470.do \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $18.52615805$ $[1, -1, 1, -27584888, 212391378281]$ \(y^2+xy+y=x^3-x^2-27584888x+212391378281\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 120.12.0.?, 312.12.0.?, $\ldots$ $[(-437641049/374, 27167068586813/374)]$
109200.gl4 109200.gl \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.294300596$ $[0, 1, 0, -7254408, 28640611188]$ \(y^2=x^3+x^2-7254408x+28640611188\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 56.12.0.v.1, $\ldots$ $[(2724, 170586)]$
152880.hp4 152880.hp \( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -14218640, -78601212012]$ \(y^2=x^3+x^2-14218640x-78601212012\) 2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 120.24.0.?, 840.48.0.? $[ ]$
177450.hd4 177450.hd \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $59.55389492$ $[1, 1, 1, -76624688, -983293417969]$ \(y^2+xy+y=x^3+x^2-76624688x-983293417969\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 120.12.0.?, 312.12.0.?, $\ldots$ $[(21423027946120348747041123625/581848723368, 3093107962811770900575309671686812463177609/581848723368)]$
248430.q4 248430.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -150184388, 2698006954518]$ \(y^2+xy=x^3+x^2-150184388x+2698006954518\) 2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0.v.1, 120.12.0.?, $\ldots$ $[ ]$
262080.by4 262080.by \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $46.51629861$ $[0, 0, 0, -10446348, -49495154672]$ \(y^2=x^3-10446348x-49495154672\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$ $[(5004, 153400), (53536/3, 8488700/3)]$
262080.fq4 262080.fq \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -10446348, 49495154672]$ \(y^2=x^3-10446348x+49495154672\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$ $[ ]$
283920.dt4 283920.dt \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -49039800, 503446230000]$ \(y^2=x^3-x^2-49039800x+503446230000\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 104.12.0.?, 120.12.0.?, $\ldots$ $[ ]$
286650.mh4 286650.mh \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -199949630, -4144685865253]$ \(y^2+xy+y=x^3-x^2-199949630x-4144685865253\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 56.24.0-56.v.1.8, 60.12.0-4.c.1.1, $\ldots$ $[ ]$
327600.lg4 327600.lg \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $10.88277095$ $[0, 0, 0, -65289675, -773361791750]$ \(y^2=x^3-65289675x-773361791750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.v.1.7, 120.24.0.?, $\ldots$ $[(4699785/4, 10184646875/4)]$
330330.bv4 330330.bv \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $2.758838252$ $[1, 0, 1, -2194459, 4765301132]$ \(y^2+xy+y=x^3-2194459x+4765301132\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 88.12.0.?, 120.12.0.?, $\ldots$ $[(340, 63536), (-341/2, 563287/2)]$
436800.hn4 436800.hn \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $13.16497153$ $[0, -1, 0, -29017633, 229153907137]$ \(y^2=x^3-x^2-29017633x+229153907137\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 56.12.0.v.1, $\ldots$ $[(-7830272/33, 9232530625/33)]$
436800.md4 436800.md \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -29017633, -229153907137]$ \(y^2=x^3+x^2-29017633x-229153907137\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 56.12.0.v.1, $\ldots$ $[ ]$
458640.ed4 458640.ed \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.019583444$ $[0, 0, 0, -127967763, 2122104756562]$ \(y^2=x^3-127967763x+2122104756562\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 56.12.0.v.1, $\ldots$ $[(-1953, 1537718)]$
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