Cremona's table of elliptic curves

117438 = 2 · 3 · 23² · 37

Class	r	Atkin-Lehner	Eigenvalues
117438a (2 curves)	0	2+ 3+ 23- 37+	2+ 3+  2 -4  0 -4  0  0
Curve Equation t 117438a1 [1,1,0,-1034,-11052] 2 117438a2 [1,1,0,-15754,-767660] 2
117438b (4 curves)	0	2+ 3+ 23- 37+	2+ 3+ -2  0  4  6 -6 -8
Curve Equation t 117438b1 [1,1,0,8189,82765] 2 117438b2 [1,1,0,-34131,632925] 4 117438b3 [1,1,0,-319791,-69239511] 2 117438b4 [1,1,0,-425591,106562001] 2
117438c (1 curve)	0	2+ 3+ 23- 37+	2+ 3+  3  2  6 -3  6  2
Curve Equation t 117438c1 [1,1,0,-425591,-232459287] 1
117438d (1 curve)	0	2+ 3+ 23- 37+	2+ 3+ -3 -2 -2 -1 -2  2
Curve Equation t 117438d1 [1,1,0,-52305679,175457901349] 1
117438e (1 curve)	0	2+ 3+ 23- 37+	2+ 3+  4 -3 -5  3 -3  7
Curve Equation t 117438e1 [1,1,0,-96445968,-364607435520] 1
117438f (2 curves)	1	2+ 3+ 23- 37-	2+ 3+ -2  4  0 -4  0  0
Curve Equation t Generators 117438f1 [1,1,0,-547261,128997949] 2 [-13280211:-3135577922:250047] 117438f2 [1,1,0,-8334141,9256778685] 2 [-120519:75221902:729]
117438g (4 curves)	1	2+ 3+ 23- 37-	2+ 3+ -2 -4 -4  2  6  4
Curve Equation t Generators 117438g1 [1,1,0,-28841,-1893579] 2 [-2607:2693:27] 117438g2 [1,1,0,-39421,-393335] 4 [-47:1189:1] 117438g3 [1,1,0,156309,-2937825] 2 [1011:33987:1] 117438g4 [1,1,0,-404431,98378371] 2 [335:626:1]
117438h (1 curve)	1	2+ 3+ 23- 37-	2+ 3+  3  2  2 -1  2 -2
Curve Equation t Generators 117438h1 [1,1,0,-98876,-14463792] 1 [27479512:200857876:68921]
117438i (1 curve)	3	2+ 3+ 23- 37-	2+ 3+ -3 -2 -6 -3 -6 -2
Curve Equation t Generators 117438i1 [1,1,0,-804,18756] 1 [-33:120:1]&[-32:130:1]&[59:396:1]
117438j (1 curve)	0	2+ 3- 23- 37-	2+ 3- -2  5 -6 -2  4  2
Curve Equation t 117438j1 [1,0,1,-39422,3154544] 1
117438k (1 curve)	0	2+ 3- 23- 37-	2+ 3- -4  1  1 -3 -3  5
Curve Equation t 117438k1 [1,0,1,782,558212] 1
117438l (2 curves)	1	2- 3+ 23- 37+	2- 3+  2  0 -4  0 -4  4
Curve Equation t Generators 117438l1 [1,1,1,-261337,-51368701] 2 [-96553038745156589769928291680:178852065338542592111333881829:329194374500881483665408000] 117438l2 [1,1,1,-383007,1144071] 2 [-4239713233708446:-300150572978140661:54967359186648]
117438m (2 curves)	0	2- 3+ 23- 37-	2- 3+  0  2  4  2  4 -6
Curve Equation t 117438m1 [1,1,1,-871803,782998665] 2 117438m2 [1,1,1,-19154043,32221138569] 2
117438n (1 curve)	0	2- 3+ 23- 37-	2- 3+  0 -3 -1  1  3 -3
Curve Equation t 117438n1 [1,1,1,8982,-2090235] 1
117438o (1 curve)	0	2- 3+ 23- 37-	2- 3+  0 -3  4 -4 -2  2
Curve Equation t 117438o1 [1,1,1,133297,-59662363] 1
117438p (2 curves)	0	2- 3+ 23- 37-	2- 3+ -2  0  4  0  4 -4
Curve Equation t 117438p1 [1,1,1,-494,4007] 2 117438p2 [1,1,1,-724,-409] 2
117438q (2 curves)	0	2- 3- 23- 37+	2- 3-  0  1 -3 -1  3  7
Curve Equation t 117438q1 [1,0,0,1047,50769] 1 117438q2 [1,0,0,-78303,8433303] 1
117438r (1 curve)	1	2- 3- 23- 37-	2- 3-  0 -1  4 -4  6 -2
Curve Equation t Generators 117438r1 [1,0,0,162392,-344062144] 1 [3080:169856:1]
117438s (1 curve)	1	2- 3- 23- 37-	2- 3-  2 -1  2 -2  0  2
Curve Equation t Generators 117438s1 [1,0,0,5808,-49212] 1 [912:11182:27]

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

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