Cremona's table of elliptic curves

86100 = 2² · 3 · 5² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
86100a (4 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+  0  4 -6  8
Curve Equation t 86100a1 [0,-1,0,-1929033,1031878062] 2 86100a2 [0,-1,0,-1923908,1037628312] 2 86100a3 [0,-1,0,-2160033,769535562] 2 86100a4 [0,-1,0,6455092,5370012312] 2
86100b (2 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+  0 -4  6  0
Curve Equation t 86100b1 [0,-1,0,-8859033,-10146148938] 2 86100b2 [0,-1,0,-8853908,-10158479688] 2
86100c (2 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+  3  4  3  2
Curve Equation t 86100c1 [0,-1,0,-3213,71442] 1 86100c2 [0,-1,0,7587,368982] 1
86100d (2 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+  3  4 -6  8
Curve Equation t 86100d1 [0,-1,0,622,18597] 1 86100d2 [0,-1,0,-5678,-549663] 1
86100e (2 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -3  4  3  2
Curve Equation t 86100e1 [0,-1,0,14867,2708137] 1 86100e2 [0,-1,0,-135133,-77391863] 1
86100f (1 curve)	2	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -3 -4  6 -6
Curve Equation t Generators 86100f1 [0,-1,0,27,-303] 1 [8:19:1]&[16:63:1]
86100g (1 curve)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+ -1  0  6  4
Curve Equation t Generators 86100g1 [0,-1,0,-15663558,-23855513103] 1 [356847231:143772874803:2197]
86100h (2 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  0  2 -2 -4
Curve Equation t Generators 86100h1 [0,-1,0,-42533,-3361938] 2 [-119:13:1] 86100h2 [0,-1,0,-39908,-3797688] 2 [406:6838:1]
86100i (2 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  0 -2 -6 -4
Curve Equation t Generators 86100i1 [0,-1,0,-1533,-21438] 2 [-22:34:1] 86100i2 [0,-1,0,1092,-89688] 2 [874:9197:8]
86100j (1 curve)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7- -3  0  6 -2
Curve Equation t Generators 86100j1 [0,-1,0,1746667,843189537] 1 [-2484102557395064:31467577028076697:5873895925507]
86100k (1 curve)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7- -3  6  0 -2
Curve Equation t Generators 86100k1 [0,-1,0,-2238,41517] 1 [23:41:1]
86100l (2 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  6 -4 -2  2
Curve Equation t Generators 86100l1 [0,-1,0,-32283133,69868941262] 2 [-5403:294175:1] 86100l2 [0,-1,0,-6017508,180237097512] 2 [2502:-425250:1]
86100m (1 curve)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  3  0  5 -6
Curve Equation t 86100m1 [0,-1,0,-3333,-157338] 1
86100n (1 curve)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+ -2 -2  4  7
Curve Equation t Generators 86100n1 [0,-1,0,107,-143] 1 [7:-30:1]
86100o (1 curve)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  0 -2 -7  4
Curve Equation t 86100o1 [0,-1,0,199667,-53521463] 1
86100p (2 curves)	2	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  2  2 -6 -6
Curve Equation t Generators 86100p1 [0,-1,0,-5453,156702] 2 [47:-45:1]&[-79:297:1] 86100p2 [0,-1,0,-4228,227752] 2 [-63:490:1]&[-42:574:1]
86100q (1 curve)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  2 -2 -4  1
Curve Equation t 86100q1 [0,-1,0,-63973,-6211583] 1
86100r (1 curve)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  1  4 -3  6
Curve Equation t 86100r1 [0,-1,0,65667,-14320338] 1
86100s (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7- -2  2  2 -2
Curve Equation t Generators 86100s1 [0,-1,0,-2706333,-1689668838] 2 [-862:1394:1] 86100s2 [0,-1,0,-225708,-4671380088] 2 [985354:-345810277:8]
86100t (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  1 -4  3  6
Curve Equation t Generators 86100t1 [0,1,0,2627,-113512] 1 [281208:28700252:27]
86100u (2 curves)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  2  0 -6 -2
Curve Equation t Generators 86100u1 [0,1,0,-268133,-51630012] 2 [-7044:21500:27] 86100u2 [0,1,0,122492,-189130012] 2 [34123:6303750:1]
86100v (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+ -2 -1  0  0
Curve Equation t Generators 86100v1 [0,1,0,1092,415188] 1 [-61:354:1]
86100w (1 curve)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  3  0  5 -6
Curve Equation t 86100w1 [0,1,0,-495859133,-4252891651137] 1
86100x (2 curves)	2	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+ -4 -4 -6  0
Curve Equation t Generators 86100x1 [0,1,0,-1233,9288] 2 [-37:75:1]&[-33:123:1] 86100x2 [0,1,0,3892,70788] 2 [-12:150:1]&[28:-450:1]
86100y (2 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  0  0  2  0
Curve Equation t 86100y1 [0,1,0,-4033,-97312] 2 86100y2 [0,1,0,1092,-322812] 2
86100z (2 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  0  2  4  4
Curve Equation t 86100z1 [0,1,0,-7133,229488] 2 86100z2 [0,1,0,-6508,271988] 2
86100ba (2 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -4  2  0  0
Curve Equation t 86100ba1 [0,1,0,-6133,-164512] 2 86100ba2 [0,1,0,9492,-852012] 2
86100bb (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  0  2  7  4
Curve Equation t Generators 86100bb1 [0,1,0,7987,-424977] 1 [217:3402:1]
86100bc (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2 -1  4 -4
Curve Equation t Generators 86100bc1 [0,1,0,-1099427308,-30261980941612] 1 [1645427:2110223178:1]
86100bd (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2  3 -4  4
Curve Equation t Generators 86100bd1 [0,1,0,-308,-3612] 1 [804:22806:1]
86100be (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2 -3  4 -4
Curve Equation t Generators 86100be1 [0,1,0,-81508,8989988] 1 [164:-246:1]
86100bf (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -2  4  2 -6
Curve Equation t Generators 86100bf1 [0,1,0,-624533,-180985812] 2 [-413:-2583:1] 86100bf2 [0,1,0,426092,-727310812] 2 [1268:-43050:1]
86100bg (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -3  4 -1  6
Curve Equation t Generators 86100bg1 [0,1,0,-4933,204263] 1 [113:1050:1]
86100bh (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -4  0  2  1
Curve Equation t Generators 86100bh1 [0,1,0,145467,52101063] 1 [-147:5250:1]
86100bi (1 curve)	2	2- 3- 5- 7+ 41+	2- 3- 5- 7+ -3  0 -6 -2
Curve Equation t Generators 86100bi1 [0,1,0,69867,6773463] 1 [-87:210:1]&[-63:1458:1]
86100bj (1 curve)	2	2- 3- 5- 7+ 41+	2- 3- 5- 7+ -3 -6  0 -2
Curve Equation t Generators 86100bj1 [0,1,0,-55958,5077713] 1 [-266:1101:1]&[-92:3075:1]
86100bk (2 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+ -2 -2 -2 -2
Curve Equation t Generators 86100bk1 [0,1,0,-108253,-13560652] 2 [-181:-369:1] 86100bk2 [0,1,0,-9028,-37374652] 2 [548:11070:1]
86100bl (1 curve)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  3  0 -5 -6
Curve Equation t Generators 86100bl1 [0,1,0,-133,-1312] 1 [32:168:1]
86100bm (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -2  2 -4  7
Curve Equation t Generators 86100bm1 [0,1,0,2667,-12537] 1 [5412:58125:64]
86100bn (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  3 -4 -3  2
Curve Equation t Generators 86100bn1 [0,1,0,-80333,8769588] 3 [-317:1575:1] 86100bn2 [0,1,0,189667,46502088] 1 [-188:2058:1]
86100bo (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  3 -4  6  8
Curve Equation t Generators 86100bo1 [0,1,0,15542,2355713] 3 [-76:861:1] 86100bo2 [0,1,0,-141958,-68991787] 1 [7642:206763:8]
86100bp (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -3  4 -6 -6
Curve Equation t Generators 86100bp1 [0,1,0,667,-36537] 1 [33:150:1]
86100bq (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -1  0 -6  4
Curve Equation t 86100bq1 [0,1,0,-391588958,-2982722315787] 1
86100br (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  2  2  4  1
Curve Equation t 86100br1 [0,1,0,-1599333,-779646537] 1
86100bs (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  2 -2  6 -6
Curve Equation t 86100bs1 [0,1,0,-136333,19315088] 2 86100bs2 [0,1,0,-105708,28257588] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations