Cremona's table of elliptic curves

37191 = 3 · 7² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
37191a (2 curves)	2	3+ 7- 11+ 23+	-1 3+ -2 7- 11+ -2  0 -4
Curve Equation t Generators 37191a1 [1,1,1,-484,-7540] 2 [238:471:8]&[50:-336:1] 37191a2 [1,1,1,-9339,-351114] 2 [-57:35:1]&[287:4407:1]
37191b (6 curves)	1	3+ 7- 11- 23+	-1 3+  2 7- 11-  2 -2  4
Curve Equation t Generators 37191b1 [1,1,1,1518,67374] 2 [-4:249:1] 37191b2 [1,1,1,-18327,853236] 4 [-78:1386:1] 37191b3 [1,1,1,-69042,-6084576] 2 [-176:896:1] 37191b4 [1,1,1,-285132,58483116] 4 [2414:259:8] 37191b5 [1,1,1,-277047,61966134] 2 [4878:85267:8] 37191b6 [1,1,1,-4562097,3748648518] 2 [83796:259175:64]
37191c (1 curve)	0	3+ 7- 11- 23-	1 3+  2 7- 11-  7  3 -1
Curve Equation t 37191c1 [1,1,0,-2629,50842] 1
37191d (1 curve)	0	3+ 7- 11- 23-	2 3+  1 7- 11- -6  2 -2
Curve Equation t 37191d1 [0,-1,1,17820,70895] 1
37191e (2 curves)	1	3- 7- 11+ 23+	-1 3-  2 7- 11+  2  0  4
Curve Equation t Generators 37191e1 [1,0,0,-23717,2515008] 2 [61:-1169:1] 37191e2 [1,0,0,-457612,119059205] 2 [-388:15629:1]
37191f (2 curves)	0	3- 7- 11- 23+	1 3-  4 7- 11-  4  2 -8
Curve Equation t 37191f1 [1,0,1,-3554,128279] 2 37191f2 [1,0,1,-65539,6450749] 2
37191g (2 curves)	0	3- 7- 11- 23+	-1 3-  0 7- 11-  4 -6  0
Curve Equation t 37191g1 [1,0,0,-4068,-105561] 2 37191g2 [1,0,0,-66053,-6539604] 2
37191h (1 curve)	1	3- 7- 11- 23-	1 3- -2 7- 11- -7 -3  1
Curve Equation t Generators 37191h1 [1,0,1,-128847,-17825321] 1 [2699:137565:1]
37191i (2 curves)	1	3- 7- 11- 23-	-1 3-  0 7- 11- -2  0 -2
Curve Equation t Generators 37191i1 [1,0,0,-1128,211959] 2 [15:-453:1] 37191i2 [1,0,0,-60663,5701086] 2 [195:-1236:1]
37191j (1 curve)	1	3- 7- 11- 23-	2 3-  3 7- 11- -2 -6 -2
Curve Equation t Generators 37191j1 [0,1,1,-7954,7717189] 1 [26084:544309:64]

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

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