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Conductor j-invariant Rank Torsion Complex multiplication
Bad$\ p$ Discriminant Regulator Analytic order of Ш Galois image
Isogeny class size Isogeny class degree Cyclic isogeny degree $p\ $div$\ $|Ш| Nonmax$\ \ell$
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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation
11.a2 11.a \( 11 \) $0$ $\Z/5\Z$ $1$ $[0, -1, 1, -10, -20]$ \(y^2+y=x^3-x^2-10x-20\)
11.a3 11.a \( 11 \) $0$ $\Z/5\Z$ $1$ $[0, -1, 1, 0, 0]$ \(y^2+y=x^3-x^2\)
38.b2 38.b \( 2 \cdot 19 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 0, 1]$ \(y^2+xy+y=x^3+x^2+1\)
50.b3 50.b \( 2 \cdot 5^{2} \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -3, 1]$ \(y^2+xy+y=x^3+x^2-3x+1\)
50.b4 50.b \( 2 \cdot 5^{2} \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 22, -9]$ \(y^2+xy+y=x^3+x^2+22x-9\)
57.b2 57.b \( 3 \cdot 19 \) $0$ $\Z/5\Z$ $1$ $[0, 1, 1, 20, -32]$ \(y^2+y=x^3+x^2+20x-32\)
58.b2 58.b \( 2 \cdot 29 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 5, 9]$ \(y^2+xy+y=x^3+x^2+5x+9\)
75.a2 75.a \( 3 \cdot 5^{2} \) $0$ $\Z/5\Z$ $1$ $[0, 1, 1, 2, 4]$ \(y^2+y=x^3+x^2+2x+4\)
110.b2 110.b \( 2 \cdot 5 \cdot 11 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 10, -45]$ \(y^2+xy+y=x^3+x^2+10x-45\)
118.c1 118.c \( 2 \cdot 59 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -25, 39]$ \(y^2+xy+y=x^3+x^2-25x+39\)
123.a1 123.a \( 3 \cdot 41 \) $1$ $\Z/5\Z$ $0.840521417$ $[0, 1, 1, -10, 10]$ \(y^2+y=x^3+x^2-10x+10\)
155.a2 155.a \( 5 \cdot 31 \) $1$ $\Z/5\Z$ $1.514887282$ $[0, -1, 1, 10, 6]$ \(y^2+y=x^3-x^2+10x+6\)
158.d2 158.d \( 2 \cdot 79 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -420, 3109]$ \(y^2+xy+y=x^3+x^2-420x+3109\)
175.a1 175.a \( 5^{2} \cdot 7 \) $1$ $\Z/5\Z$ $0.664629997$ $[0, -1, 1, -148, 748]$ \(y^2+y=x^3-x^2-148x+748\)
186.c2 186.c \( 2 \cdot 3 \cdot 31 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, 15, 9]$ \(y^2+xy=x^3+15x+9\)
203.a2 203.a \( 7 \cdot 29 \) $0$ $\Z/5\Z$ $1$ $[0, -1, 1, 20, -8]$ \(y^2+y=x^3-x^2+20x-8\)
246.g2 246.g \( 2 \cdot 3 \cdot 41 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -175, -27847]$ \(y^2+xy=x^3-175x-27847\)
286.d2 286.d \( 2 \cdot 11 \cdot 13 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 280, 393]$ \(y^2+xy+y=x^3+x^2+280x+393\)
302.c1 302.c \( 2 \cdot 151 \) $1$ $\Z/5\Z$ $1.155798972$ $[1, 1, 1, -230, 1251]$ \(y^2+xy+y=x^3+x^2-230x+1251\)
325.a2 325.a \( 5^{2} \cdot 13 \) $0$ $\Z/5\Z$ $1$ $[0, -1, 1, -98, 378]$ \(y^2+y=x^3-x^2-98x+378\)
366.f2 366.f \( 2 \cdot 3 \cdot 61 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -5, 33]$ \(y^2+xy=x^3-5x+33\)
395.a1 395.a \( 5 \cdot 79 \) $0$ $\Z/5\Z$ $1$ $[0, -1, 1, -50, 156]$ \(y^2+y=x^3-x^2-50x+156\)
426.c2 426.c \( 2 \cdot 3 \cdot 71 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -20, 48]$ \(y^2+xy=x^3-20x+48\)
537.a1 537.a \( 3 \cdot 179 \) $0$ $\Z/5\Z$ $1$ $[0, 1, 1, -340, 2308]$ \(y^2+y=x^3+x^2-340x+2308\)
550.j1 550.j \( 2 \cdot 5^{2} \cdot 11 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -30328, 2020281]$ \(y^2+xy+y=x^3+x^2-30328x+2020281\)
550.j3 550.j \( 2 \cdot 5^{2} \cdot 11 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 197, 681]$ \(y^2+xy+y=x^3+x^2+197x+681\)
574.i2 574.i \( 2 \cdot 7 \cdot 41 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -175, 789]$ \(y^2+xy+y=x^3+x^2-175x+789\)
606.f1 606.f \( 2 \cdot 3 \cdot 101 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -90, 324]$ \(y^2+xy=x^3-90x+324\)
665.a2 665.a \( 5 \cdot 7 \cdot 19 \) $1$ $\Z/5\Z$ $0.523665501$ $[0, -1, 1, -210, 6798]$ \(y^2+y=x^3-x^2-210x+6798\)
710.d2 710.d \( 2 \cdot 5 \cdot 71 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -1105, 11727]$ \(y^2+xy+y=x^3+x^2-1105x+11727\)
786.m2 786.m \( 2 \cdot 3 \cdot 131 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -2135, 35913]$ \(y^2+xy=x^3-2135x+35913\)
806.d1 806.d \( 2 \cdot 13 \cdot 31 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -14105, 638919]$ \(y^2+xy+y=x^3+x^2-14105x+638919\)
834.g2 834.g \( 2 \cdot 3 \cdot 139 \) $1$ $\Z/5\Z$ $0.800062856$ $[1, 0, 0, -70, 356]$ \(y^2+xy=x^3-70x+356\)
862.d1 862.d \( 2 \cdot 431 \) $1$ $\Z/5\Z$ $2.137778577$ $[1, 1, 1, -2460, 45949]$ \(y^2+xy+y=x^3+x^2-2460x+45949\)
874.d2 874.d \( 2 \cdot 19 \cdot 23 \) $1$ $\Z/5\Z$ $2.279532663$ $[1, 1, 1, -410, 903]$ \(y^2+xy+y=x^3+x^2-410x+903\)
885.a2 885.a \( 3 \cdot 5 \cdot 59 \) $1$ $\Z/5\Z$ $0.745074846$ $[0, 1, 1, -280, 1684]$ \(y^2+y=x^3+x^2-280x+1684\)
890.g2 890.g \( 2 \cdot 5 \cdot 89 \) $1$ $\Z/5\Z$ $1.593046193$ $[1, 1, 1, 10, 147]$ \(y^2+xy+y=x^3+x^2+10x+147\)
1050.r2 1050.r \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, 22, -2748]$ \(y^2+xy=x^3+22x-2748\)
1147.a2 1147.a \( 31 \cdot 37 \) $1$ $\Z/5\Z$ $2.295088086$ $[0, -1, 1, -26790, 1696662]$ \(y^2+y=x^3-x^2-26790x+1696662\)
1155.c2 1155.c \( 3 \cdot 5 \cdot 7 \cdot 11 \) $1$ $\Z/5\Z$ $0.173250195$ $[0, 1, 1, -8940, 378056]$ \(y^2+y=x^3+x^2-8940x+378056\)
1254.j2 1254.j \( 2 \cdot 3 \cdot 11 \cdot 19 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, 75, 1953]$ \(y^2+xy=x^3+75x+1953\)
1293.a2 1293.a \( 3 \cdot 431 \) $1$ $\Z/5\Z$ $1.682003328$ $[0, 1, 1, -6370, 193540]$ \(y^2+y=x^3+x^2-6370x+193540\)
1310.c1 1310.c \( 2 \cdot 5 \cdot 131 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -95, 357]$ \(y^2+xy+y=x^3+x^2-95x+357\)
1342.b2 1342.b \( 2 \cdot 11 \cdot 61 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -187880, -31262199]$ \(y^2+xy+y=x^3+x^2-187880x-31262199\)
1342.b3 1342.b \( 2 \cdot 11 \cdot 61 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, -13960, 629001]$ \(y^2+xy+y=x^3+x^2-13960x+629001\)
1479.c1 1479.c \( 3 \cdot 17 \cdot 29 \) $1$ $\Z/5\Z$ $0.890433144$ $[0, 1, 1, -6070, 181852]$ \(y^2+y=x^3+x^2-6070x+181852\)
1526.f2 1526.f \( 2 \cdot 7 \cdot 109 \) $1$ $\Z/5\Z$ $2.467963643$ $[1, 1, 1, 50, 363]$ \(y^2+xy+y=x^3+x^2+50x+363\)
1586.c2 1586.c \( 2 \cdot 13 \cdot 61 \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 16005, 10336393]$ \(y^2+xy+y=x^3+x^2+16005x+10336393\)
1650.q1 1650.q \( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -578, 5412]$ \(y^2+xy=x^3-578x+5412\)
1650.s1 1650.s \( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/5\Z$ $1$ $[1, 0, 0, -903, 10377]$ \(y^2+xy=x^3-903x+10377\)
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