Cremona's table of elliptic curves

29670 = 2 · 3 · 5 · 23 · 43

Class	r	Atkin-Lehner	Eigenvalues
29670a (2 curves)	1	2+ 3+ 5+ 23+ 43+	2+ 3+ 5+ -2 -6  4 -6 -4
Curve Equation t Generators 29670a1 [1,1,0,-2133988,-999503408] 2 [-122722512:271779887:110592] 29670a2 [1,1,0,-9998308,11235805648] 2 [11158:14569:8]
29670b (1 curve)	1	2+ 3+ 5+ 23+ 43+	2+ 3+ 5+ -3 -4 -5  0  1
Curve Equation t Generators 29670b1 [1,1,0,229537,43741317] 1 [-151:2456:1]
29670c (1 curve)	1	2+ 3+ 5+ 23+ 43+	2+ 3+ 5+  4  3 -2  0 -7
Curve Equation t Generators 29670c1 [1,1,0,22,852] 1 [4:30:1]
29670d (2 curves)	1	2+ 3+ 5+ 23- 43-	2+ 3+ 5+  0 -2  2  0 -6
Curve Equation t Generators 29670d1 [1,1,0,-12628,-551168] 2 [132:256:1] 29670d2 [1,1,0,-10128,-772668] 2 [282:4206:1]
29670e (2 curves)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  0  0  4 -6 -4
Curve Equation t 29670e1 [1,1,0,-467,2541] 2 29670e2 [1,1,0,1253,18709] 2
29670f (1 curve)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  0  6  7  0  8
Curve Equation t 29670f1 [1,1,0,-704252,227192016] 1
29670g (1 curve)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  4  2 -6  4  1
Curve Equation t 29670g1 [1,1,0,761063,-247650971] 1
29670h (2 curves)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  4 -4  0 -8  4
Curve Equation t 29670h1 [1,1,0,-3462,293076] 2 29670h2 [1,1,0,-90942,10493244] 2
29670i (1 curve)	1	2+ 3+ 5- 23- 43+	2+ 3+ 5- -4  5 -6  0  5
Curve Equation t Generators 29670i1 [1,1,0,-37007,-2756571] 1 [5971490:117217519:12167]
29670j (1 curve)	0	2+ 3+ 5- 23- 43-	2+ 3+ 5-  4 -2  5  0 -4
Curve Equation t 29670j1 [1,1,0,9353,1228309] 1
29670k (4 curves)	0	2+ 3+ 5- 23- 43-	2+ 3+ 5-  4  4  2 -2  4
Curve Equation t 29670k1 [1,1,0,-3547,63181] 2 29670k2 [1,1,0,-18127,-890351] 4 29670k3 [1,1,0,15623,-3786101] 2 29670k4 [1,1,0,-285157,-58729049] 2
29670l (4 curves)	0	2+ 3- 5+ 23+ 43+	2+ 3- 5+ -4  0 -2 -6  4
Curve Equation t 29670l1 [1,0,1,-35884,-2618518] 2 29670l2 [1,0,1,-41004,-1823894] 4 29670l3 [1,0,1,130996,-13107094] 2 29670l4 [1,0,1,-294924,60335722] 2
29670m (1 curve)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+ -1  2 -7  6  5
Curve Equation t Generators 29670m1 [1,0,1,61,596] 1 [6:-38:1]
29670n (1 curve)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+  4 -3 -2 -4 -5
Curve Equation t Generators 29670n1 [1,0,1,-23986804,45215643506] 1 [7521:534991:1]
29670o (1 curve)	0	2+ 3- 5+ 23- 43-	2+ 3- 5+  2  6 -4  6  1
Curve Equation t 29670o1 [1,0,1,-154,-748] 1
29670p (4 curves)	0	2+ 3- 5+ 23- 43-	2+ 3- 5+ -4  0  2  6  4
Curve Equation t 29670p1 [1,0,1,218281,28179962] 2 29670p2 [1,0,1,-1092439,249953786] 4 29670p3 [1,0,1,-7863639,-8311551494] 2 29670p4 [1,0,1,-15292759,23010226682] 2
29670q (1 curve)	1	2- 3+ 5+ 23+ 43-	2- 3+ 5+  2 -2  0 -2  1
Curve Equation t Generators 29670q1 [1,1,1,-696,20979] 1 [-44:9365:64]
29670r (2 curves)	1	2- 3+ 5+ 23+ 43-	2- 3+ 5+  2 -2  0 -2  4
Curve Equation t Generators 29670r1 [1,1,1,-2151,31389] 2 [43:122:1] 29670r2 [1,1,1,-32871,2280093] 2 [99:-142:1]
29670s (2 curves)	1	2- 3+ 5+ 23+ 43-	2- 3+ 5+ -2  2 -4  6 -4
Curve Equation t Generators 29670s1 [1,1,1,-64406,-6318097] 2 [-103416735939392:51992431940573:704018907136] 29670s2 [1,1,1,-64676,-6262801] 2 [-4627424:-6926017:32768]
29670t (1 curve)	1	2- 3+ 5- 23+ 43+	2- 3+ 5-  1  2 -3 -2  7
Curve Equation t Generators 29670t1 [1,1,1,-1370,-26593] 1 [147:1651:1]
29670u (2 curves)	0	2- 3+ 5- 23- 43+	2- 3+ 5-  2  2  0  6 -4
Curve Equation t 29670u1 [1,1,1,-175,437] 2 29670u2 [1,1,1,-1255,-17275] 2
29670v (4 curves)	1	2- 3- 5+ 23- 43-	2- 3- 5+  0  0  6 -2 -4
Curve Equation t Generators 29670v1 [1,0,0,-151,-535] 2 [-4:5:1] 29670v2 [1,0,0,-871,9401] 4 [-32:85:1] 29670v3 [1,0,0,509,36725] 2 [-26:91:1] 29670v4 [1,0,0,-13771,620861] 2 [1258:43807:1]
29670w (4 curves)	1	2- 3- 5+ 23- 43-	2- 3- 5+  2  6 -4 -6 -4
Curve Equation t Generators 29670w1 [1,0,0,-59106,-5430204] 6 [330:3156:1] 29670w2 [1,0,0,-128226,9651780] 6 [-384:1710:1] 29670w3 [1,0,0,-4762146,-4000324860] 2 [-15531229560:7763420050:12326391] 29670w4 [1,0,0,-4762266,-4000113204] 2 [-34242:8266:27]
29670x (1 curve)	0	2- 3- 5- 23+ 43+	2- 3- 5-  0 -6  3  4  4
Curve Equation t 29670x1 [1,0,0,-585925,-172726375] 1
29670y (2 curves)	0	2- 3- 5- 23+ 43+	2- 3- 5- -2 -2 -4 -2 -4
Curve Equation t 29670y1 [1,0,0,-105,405] 2 29670y2 [1,0,0,-135,147] 2
29670z (2 curves)	0	2- 3- 5- 23+ 43+	2- 3- 5-  4  4  4  2  0
Curve Equation t 29670z1 [1,0,0,-34105,2421305] 2 29670z2 [1,0,0,-32385,2676897] 2
29670ba (1 curve)	1	2- 3- 5- 23- 43+	2- 3- 5-  1 -6  1 -2 -5
Curve Equation t Generators 29670ba1 [1,0,0,-157725,24113457] 1 [114:-2817:1]
29670bb (1 curve)	1	2- 3- 5- 23- 43+	2- 3- 5- -2 -2  4  2  3
Curve Equation t Generators 29670bb1 [1,0,0,-1420,-108400] 1 [200:2660:1]
29670bc (1 curve)	0	2- 3- 5- 23- 43-	2- 3- 5-  4  2  1 -4  0
Curve Equation t 29670bc1 [1,0,0,170,602] 1

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