Cremona's table of elliptic curves

42780 = 2² · 3 · 5 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
42780a (1 curve)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -2 -2  3 -4 -1
Curve Equation t Generators 42780a1 [0,-1,0,524,3976] 1 [-2:54:1]
42780b (1 curve)	1	2- 3+ 5+ 23- 31+	2- 3+ 5+ -2  6  1  0  3
Curve Equation t Generators 42780b1 [0,-1,0,-642156,206541000] 1 [24900:251505:64]
42780c (2 curves)	0	2- 3+ 5- 23+ 31-	2- 3+ 5-  2  4  6  6  6
Curve Equation t 42780c1 [0,-1,0,-585,-5250] 2 42780c2 [0,-1,0,-740,-2088] 2
42780d (2 curves)	0	2- 3+ 5- 23+ 31-	2- 3+ 5-  2 -4  2  6  6
Curve Equation t 42780d1 [0,-1,0,-12425,-528198] 2 42780d2 [0,-1,0,-16300,-167048] 2
42780e (2 curves)	0	2- 3+ 5- 23+ 31-	2- 3+ 5- -2  4  0 -4 -4
Curve Equation t 42780e1 [0,-1,0,-16068385,-24786353150] 2 42780e2 [0,-1,0,-16068540,-24785850888] 2
42780f (2 curves)	2	2- 3+ 5- 23+ 31-	2- 3+ 5- -2 -4 -2 -6  2
Curve Equation t Generators 42780f1 [0,-1,0,-15105,-12078] 2 [-113:489:1]&[-91:775:1] 42780f2 [0,-1,0,-164060,25548600] 2 [-430:4050:1]&[-215:7130:1]
42780g (2 curves)	1	2- 3+ 5- 23- 31-	2- 3+ 5-  2 -4 -4  4 -4
Curve Equation t Generators 42780g1 [0,-1,0,-71425,-7323470] 2 [342:2852:1] 42780g2 [0,-1,0,-71580,-7289928] 2 [-151:230:1]
42780h (2 curves)	0	2- 3- 5- 23+ 31+	2- 3- 5- -2 -4 -4  0 -4
Curve Equation t 42780h1 [0,1,0,-61604585,172882249980] 2 42780h2 [0,1,0,-204750340,-926248115212] 2
42780i (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5- -2  6  1  0  1
Curve Equation t 42780i1 [0,1,0,207743780,-4031157377932] 1
42780j (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5- -2  6  5  0  5
Curve Equation t 42780j1 [0,1,0,-300,1908] 1
42780k (2 curves)	1	2- 3- 5- 23- 31+	2- 3- 5-  2 -4  2 -2 -2
Curve Equation t Generators 42780k1 [0,1,0,-465,900] 2 [0:30:1] 42780k2 [0,1,0,-4340,-110700] 2 [235:3450:1]

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

Part of Computational Number Theory
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