Cremona's table of elliptic curves

62678 = 2 · 7 · 11² · 37

Class	r	Atkin-Lehner	Eigenvalues
62678a (2 curves)	0	2+ 7+ 11+ 37-	2+ -2 -2 7+ 11+ -4  0  0
Curve Equation t 62678a1 [1,0,1,-116311737,482707659740] 2 62678a2 [1,0,1,-1860880057,30897511750620] 2
62678b (2 curves)	0	2+ 7+ 11- 37+	2+  2 -2 7+ 11- -4  4  8
Curve Equation t 62678b1 [1,1,0,17059,701309] 2 62678b2 [1,1,0,-89421,6259565] 2
62678c (4 curves)	1	2+ 7+ 11- 37-	2+  0  2 7+ 11-  2 -2 -8
Curve Equation t Generators 62678c1 [1,-1,0,-352556,80660432] 2 [4744:321908:1] 62678c2 [1,-1,0,-362236,76004352] 4 [593055:-40827474:125] 62678c3 [1,-1,0,467824,372999820] 2 [238:22192:1] 62678c4 [1,-1,0,-1347176,-519096396] 2 [-218732832997941:-2658081598286907:309876419663]
62678d (1 curve)	1	2+ 7+ 11- 37-	2+ -2 -2 7+ 11- -4  4  5
Curve Equation t Generators 62678d1 [1,0,1,4353,46946] 1 [131:-1760:1]
62678e (1 curve)	1	2+ 7- 11+ 37-	2+ -2  1 7- 11+  4 -3 -6
Curve Equation t Generators 62678e1 [1,0,1,29642,145440] 1 [10:660:1]
62678f (1 curve)	0	2+ 7- 11- 37-	2+  1  2 7- 11-  2 -3 -8
Curve Equation t 62678f1 [1,0,1,-32915,2352238] 1
62678g (1 curve)	1	2- 7+ 11+ 37-	2- -2  1 7+ 11+ -4  3  6
Curve Equation t Generators 62678g1 [1,0,0,245,-87] 1 [8:-53:1]
62678h (1 curve)	0	2- 7+ 11- 37-	2-  1  2 7+ 11- -2  3  8
Curve Equation t 62678h1 [1,0,0,-272,-1792] 1
62678i (2 curves)	0	2- 7- 11+ 37-	2- -2 -2 7- 11+  4  0  0
Curve Equation t 62678i1 [1,0,0,-961254,-362752796] 2 62678i2 [1,0,0,-15379174,-23215155996] 2
62678j (2 curves)	0	2- 7- 11- 37+	2- -2  2 7- 11- -2 -4 -8
Curve Equation t 62678j1 [1,0,0,-361127,83512837] 2 62678j2 [1,0,0,-5778297,5345751775] 2
62678k (2 curves)	0	2- 7- 11- 37+	2- -2  2 7- 11-  4 -4  4
Curve Equation t 62678k1 [1,0,0,-155446827,-746668423247] 2 62678k2 [1,0,0,-2487784747,-47760536811855] 2
62678l (1 curve)	1	2- 7- 11- 37-	2- -2 -2 7- 11-  4 -4 -5
Curve Equation t Generators 62678l1 [1,0,0,36,-32] 1 [2:6:1]

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

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