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Results (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
26.b2 26.b \( 2 \cdot 13 \) $0$ $\Z/7\Z$ $1$ $[1, -1, 1, -3, 3]$ \(y^2+xy+y=x^3-x^2-3x+3\) 7.48.0-7.a.1.2, 104.2.0.?, 728.96.2.?
174.e2 174.e \( 2 \cdot 3 \cdot 29 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -1, 137]$ \(y^2+xy=x^3-x+137\) 7.48.0-7.a.1.2, 696.2.0.?, 4872.96.2.?
258.f2 258.f \( 2 \cdot 3 \cdot 43 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, 159, 1737]$ \(y^2+xy=x^3+159x+1737\) 7.48.0-7.a.1.2, 516.2.0.?, 3612.96.2.?
678.e2 678.e \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -1661, 26097]$ \(y^2+xy=x^3-1661x+26097\) 7.48.0-7.a.1.2, 678.2.0.?, 4746.96.2.?
762.f2 762.f \( 2 \cdot 3 \cdot 127 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -101946, 12401892]$ \(y^2+xy=x^3-101946x+12401892\) 7.48.0-7.a.1.2, 1016.2.0.?, 7112.96.2.?
858.k1 858.k \( 2 \cdot 3 \cdot 11 \cdot 13 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -5774401, 5346023177]$ \(y^2+xy=x^3-5774401x+5346023177\) 7.48.0-7.a.1.2, 1144.2.0.?, 8008.96.2.?
1230.k2 1230.k \( 2 \cdot 3 \cdot 5 \cdot 41 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, 2305, -15975]$ \(y^2+xy=x^3+2305x-15975\) 7.48.0-7.a.1.2, 4920.2.0.?, 34440.96.2.?
2110.e1 2110.e \( 2 \cdot 5 \cdot 211 \) $0$ $\Z/7\Z$ $1$ $[1, -1, 1, -10422, 412869]$ \(y^2+xy+y=x^3-x^2-10422x+412869\) 7.48.0-7.a.1.2, 2110.2.0.?, 14770.96.2.?
4730.d1 4730.d \( 2 \cdot 5 \cdot 11 \cdot 43 \) $1$ $\Z/7\Z$ $0.982057305$ $[1, -1, 1, -5582262, 5077966149]$ \(y^2+xy+y=x^3-x^2-5582262x+5077966149\) 7.48.0-7.a.1.2, 440.2.0.?, 3080.96.2.?
5010.h2 5010.h \( 2 \cdot 3 \cdot 5 \cdot 167 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -1480, 94400]$ \(y^2+xy=x^3-1480x+94400\) 7.48.0-7.a.1.2, 20040.2.0.?, 140280.96.2.?
6378.d1 6378.d \( 2 \cdot 3 \cdot 1063 \) $1$ $\Z/7\Z$ $2.883891156$ $[1, 0, 0, -1144386, 471132612]$ \(y^2+xy=x^3-1144386x+471132612\) 7.48.0-7.a.1.2, 8504.2.0.?, 59528.96.2.?
6690.j2 6690.j \( 2 \cdot 3 \cdot 5 \cdot 223 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -6800, 240000]$ \(y^2+xy=x^3-6800x+240000\) 7.48.0-7.a.1.2, 26760.2.0.?, 187320.96.2.?
7530.l2 7530.l \( 2 \cdot 3 \cdot 5 \cdot 251 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -348930, 79128900]$ \(y^2+xy=x^3-348930x+79128900\) 7.48.0-7.a.1.2, 10040.2.0.?, 70280.96.2.?
10470.d1 10470.d \( 2 \cdot 3 \cdot 5 \cdot 349 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -45435, 3726225]$ \(y^2+xy=x^3-45435x+3726225\) 7.48.0-7.a.1.2, 41880.2.0.?, 293160.96.2.?
24882.bi2 24882.bi \( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) $1$ $\Z/7\Z$ $4.656059403$ $[1, 0, 0, 411779, 8250737]$ \(y^2+xy=x^3+411779x+8250737\) 7.48.0-7.a.1.2, 33176.2.0.?, 232232.96.2.?
27690.bg2 27690.bg \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 \) $1$ $\Z/7\Z$ $1.751933353$ $[1, 0, 0, -319040, 74649600]$ \(y^2+xy=x^3-319040x+74649600\) 7.48.0-7.a.1.2, 110760.2.0.?, 775320.96.2.?
32370.bj2 32370.bj \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -286625, 137015625]$ \(y^2+xy=x^3-286625x+137015625\) 7.48.0-7.a.1.2, 10790.2.0.?, 75530.96.2.?
32370.bk2 32370.bk \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) $1$ $\Z/7\Z$ $1.375890209$ $[1, 0, 0, -1330145, 291422025]$ \(y^2+xy=x^3-1330145x+291422025\) 7.48.0-7.a.1.2, 129480.2.0.?, 906360.96.2.?
37830.bd2 37830.bd \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -619685, 230436225]$ \(y^2+xy=x^3-619685x+230436225\) 7.48.0-7.a.1.2, 25220.2.0.?, 176540.96.2.?
40310.p2 40310.p \( 2 \cdot 5 \cdot 29 \cdot 139 \) $0$ $\Z/7\Z$ $1$ $[1, -1, 1, -99013362, -835939931151]$ \(y^2+xy+y=x^3-x^2-99013362x-835939931151\) 7.48.0-7.a.1.2, 8062.2.0.?, 56434.96.2.?
42978.u1 42978.u \( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \) $1$ $\Z/7\Z$ $2.575230045$ $[1, 0, 0, -459769306, 3796241996132]$ \(y^2+xy=x^3-459769306x+3796241996132\) 7.48.0-7.a.1.2, 2964.2.0.?, 20748.96.2.?
46090.g2 46090.g \( 2 \cdot 5 \cdot 11 \cdot 419 \) $0$ $\Z/7\Z$ $1$ $[1, -1, 1, -966882, 365921889]$ \(y^2+xy+y=x^3-x^2-966882x+365921889\) 7.48.0-7.a.1.2, 184360.2.0.?, 1290520.96.2.?
63870.o2 63870.o \( 2 \cdot 3 \cdot 5 \cdot 2129 \) $1$ $\Z/7\Z$ $2.769031518$ $[1, 0, 0, -35874060, 82698195600]$ \(y^2+xy=x^3-35874060x+82698195600\) 7.48.0-7.a.1.2, 127740.2.0.?, 894180.96.2.?
68354.f2 68354.f \( 2 \cdot 11 \cdot 13 \cdot 239 \) $1$ $\Z/7\Z$ $8.050019047$ $[1, -1, 1, 621237, -226146597]$ \(y^2+xy+y=x^3-x^2+621237x-226146597\) 7.48.0-7.a.1.2, 273416.2.0.?, 1913912.96.2.?
69366.u2 69366.u \( 2 \cdot 3 \cdot 11 \cdot 1051 \) $1$ $\Z/7\Z$ $4.419910427$ $[1, 0, 0, 430484, 453494672]$ \(y^2+xy=x^3+430484x+453494672\) 7.48.0-7.a.1.2, 277464.2.0.?, 1942248.96.2.?
71058.m2 71058.m \( 2 \cdot 3 \cdot 13 \cdot 911 \) $1$ $\Z/7\Z$ $3.144633053$ $[1, 0, 0, -5118321, 4456008297]$ \(y^2+xy=x^3-5118321x+4456008297\) 7.48.0-7.a.1.2, 71058.2.0.?, 497406.96.2.?
71630.v2 71630.v \( 2 \cdot 5 \cdot 13 \cdot 19 \cdot 29 \) $1$ $\Z/7\Z$ $2.257087381$ $[1, -1, 1, -265716552, 1667217712779]$ \(y^2+xy+y=x^3-x^2-265716552x+1667217712779\) 7.48.0-7.a.1.2, 11020.2.0.?, 77140.96.2.?
91358.d2 91358.d \( 2 \cdot 17 \cdot 2687 \) $1$ $\Z/7\Z$ $5.981192108$ $[1, -1, 1, -62268303, 189138631383]$ \(y^2+xy+y=x^3-x^2-62268303x+189138631383\) 7.48.0-7.a.1.2, 182716.2.0.?, 1279012.96.2.?
101478.k2 101478.k \( 2 \cdot 3 \cdot 13 \cdot 1301 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, 8938334, 2268820292]$ \(y^2+xy=x^3+8938334x+2268820292\) 7.48.0-7.a.1.2, 101478.2.0.?, 710346.96.2.?
105222.l2 105222.l \( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 71 \) $1$ $\Z/7\Z$ $8.433048737$ $[1, 0, 0, 16466454, -21440352348]$ \(y^2+xy=x^3+16466454x-21440352348\) 7.48.0-7.a.1.2, 105222.2.0.?, 736554.96.2.?
155298.bb1 155298.bb \( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 181 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -11086251, 14206955697]$ \(y^2+xy=x^3-11086251x+14206955697\) 7.48.0-7.a.1.2, 310596.2.0.?, 2174172.96.2.?
157146.j2 157146.j \( 2 \cdot 3 \cdot 11 \cdot 2381 \) $1$ $\Z/7\Z$ $3.971266530$ $[1, 0, 0, -5245956, 4677234192]$ \(y^2+xy=x^3-5245956x+4677234192\) 7.48.0-7.a.1.2, 628584.2.0.?, 4400088.96.2.?
157470.z1 157470.z \( 2 \cdot 3 \cdot 5 \cdot 29 \cdot 181 \) $1$ $\Z/7\Z$ $4.170708146$ $[1, 0, 0, -106997980, 425993584400]$ \(y^2+xy=x^3-106997980x+425993584400\) 7.48.0-7.a.1.2, 157470.2.0.?, 1102290.96.2.?
229242.h1 229242.h \( 2 \cdot 3 \cdot 13 \cdot 2939 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -20834021, 36600720897]$ \(y^2+xy=x^3-20834021x+36600720897\) 7.48.0-7.a.1.2, 458484.2.0.?, 3209388.96.2.?
237910.d2 237910.d \( 2 \cdot 5 \cdot 37 \cdot 643 \) $0$ $\Z/7\Z$ $1$ $[1, -1, 1, -1372533597, 1939871690469]$ \(y^2+xy+y=x^3-x^2-1372533597x+1939871690469\) 7.48.0-7.a.1.2, 951640.2.0.?, 6661480.96.2.?
257010.u2 257010.u \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 659 \) $1$ $\Z/7\Z$ $7.132876445$ $[1, 0, 0, -1882007485, 31422615242225]$ \(y^2+xy=x^3-1882007485x+31422615242225\) 7.48.0-7.a.1.2, 205608.2.0.?, 1439256.96.2.?
285090.ce1 285090.ce \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \cdot 43 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -186364200, 979307640000]$ \(y^2+xy=x^3-186364200x+979307640000\) 7.48.0-7.a.1.2, 87720.2.0.?, 614040.96.2.?
294438.h2 294438.h \( 2 \cdot 3 \cdot 31 \cdot 1583 \) $1$ $\Z/7\Z$ $8.261482858$ $[1, 0, 0, -714643631, 6065661961017]$ \(y^2+xy=x^3-714643631x+6065661961017\) 7.48.0-7.a.1.2, 588876.2.0.?, 4122132.96.2.?
310206.q2 310206.q \( 2 \cdot 3 \cdot 13 \cdot 41 \cdot 97 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -18645971, 31710685857]$ \(y^2+xy=x^3-18645971x+31710685857\) 7.48.0-7.a.1.2, 206804.2.0.?, 1447628.96.2.?
322530.bb2 322530.bb \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 827 \) $1$ $\Z/7\Z$ $5.284000255$ $[1, 0, 0, -1855549950, 30764846002500]$ \(y^2+xy=x^3-1855549950x+30764846002500\) 7.48.0-7.a.1.2, 258024.2.0.?, 1806168.96.2.?
339762.m2 339762.m \( 2 \cdot 3 \cdot 17 \cdot 3331 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -104160156, 409155902352]$ \(y^2+xy=x^3-104160156x+409155902352\) 7.48.0-7.a.1.2, 453016.2.0.?, 3171112.96.2.?
343230.l2 343230.l \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 673 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, 14097935, -37071642775]$ \(y^2+xy=x^3+14097935x-37071642775\) 7.48.0-7.a.1.2, 343230.2.0.?, 2402610.96.2.?
365690.n2 365690.n \( 2 \cdot 5 \cdot 13 \cdot 29 \cdot 97 \) $1$ $\Z/7\Z$ $5.331418852$ $[1, -1, 1, -2336967, 8297239359]$ \(y^2+xy+y=x^3-x^2-2336967x+8297239359\) 7.48.0-7.a.1.2, 1462760.2.0.?, 10239320.96.2.?
367770.bl2 367770.bl \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 23 \cdot 41 \) $1$ $\Z/7\Z$ $3.092785195$ $[1, 0, 0, -57317555, 127028237025]$ \(y^2+xy=x^3-57317555x+127028237025\) 7.48.0-7.a.1.2, 367770.2.0.?, 2574390.96.2.?
442090.b2 442090.b \( 2 \cdot 5 \cdot 11 \cdot 4019 \) $1$ $\Z/7\Z$ $5.522257083$ $[1, -1, 1, 3169263, 61621374849]$ \(y^2+xy+y=x^3-x^2+3169263x+61621374849\) 7.48.0-7.a.1.2, 884180.2.0.?, 6189260.96.2.?
486330.cd2 486330.cd \( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \cdot 43 \) $1$ $\Z/7\Z$ $3.904940627$ $[1, 0, 0, 2098150, 1610422500]$ \(y^2+xy=x^3+2098150x+1610422500\) 7.48.0-7.a.1.2, 1945320.2.0.?, 13617240.96.2.?
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