Cremona's table of elliptic curves

123728 = 2⁴ · 11 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
123728a (1 curve)	1	2+ 11+ 19+ 37+	2+  0  1  0 11+  4  1 19+
Curve Equation t Generators 123728a1 [0,0,0,613,-14742] 1 [2395:7942:125]
123728b (1 curve)	2	2+ 11+ 19- 37+	2+  1  0 -3 11+  5 -5 19-
Curve Equation t Generators 123728b1 [0,1,0,-8,3860] 1 [-13:44:1]&[26:148:1]
123728c (1 curve)	1	2+ 11- 19+ 37-	2+  2  0  0 11-  0 -3 19+
Curve Equation t Generators 123728c1 [0,-1,0,-33,-19] 1 [300:793:27]
123728d (1 curve)	1	2+ 11- 19- 37+	2+  2  0  4 11-  4 -5 19-
Curve Equation t Generators 123728d1 [0,-1,0,-11411553,-14833850851] 1 [3580046684398190603624786981129448898437222141025949601215297650713276870738423112040047502142425652:1965060369305430618123692025007972769799045787770792390793935537612826641814151855453925289902567406967:11881137201838762337199968312367170325688289645669246913837109739339959036226612448545835692487]
123728e (1 curve)	1	2+ 11- 19- 37+	2+ -3  0 -1 11- -1  5 19-
Curve Equation t Generators 123728e1 [0,0,0,2285,-6158] 1 [133:-1628:1]
123728f (1 curve)	2	2+ 11- 19- 37-	2+  1 -2 -3 11-  1 -3 19-
Curve Equation t Generators 123728f1 [0,1,0,4216,801812] 1 [1686:30932:27]&[-28:814:1]
123728g (2 curves)	0	2- 11+ 19+ 37+	2-  2 -2  0 11+  2  0 19+
Curve Equation t 123728g1 [0,-1,0,176,0] 2 123728g2 [0,-1,0,-704,704] 2
123728h (1 curve)	0	2- 11+ 19+ 37+	2- -2 -2 -2 11+ -2  3 19+
Curve Equation t 123728h1 [0,1,0,-2129149,1120801767] 1
123728i (2 curves)	1	2- 11+ 19+ 37-	2-  0 -4 -2 11+  2  6 19+
Curve Equation t Generators 123728i1 [0,0,0,-67,2370] 2 [1:48:1] 123728i2 [0,0,0,-3107,66210] 2 [-7:296:1]
123728j (1 curve)	1	2- 11+ 19+ 37-	2-  0 -4 -2 11+  4  3 19+
Curve Equation t Generators 123728j1 [0,0,0,-1952,33100] 1 [21:-37:1]
123728k (2 curves)	1	2- 11+ 19+ 37-	2- -1  0  1 11+ -1  3 19+
Curve Equation t Generators 123728k1 [0,-1,0,38512,-14683712] 1 [234:2662:1] 123728k2 [0,-1,0,-348688,409749440] 1 [938:-30118:1]
123728l (2 curves)	1	2- 11+ 19+ 37-	2-  2  0  4 11+ -4  3 19+
Curve Equation t Generators 123728l1 [0,-1,0,-2453,-45859] 1 [17048663820:40428231623:283593393] 123728l2 [0,-1,0,-11253,421949] 1 [10812:209087:27]
123728m (4 curves)	0	2- 11+ 19- 37-	2-  0 -2  0 11+  6 -2 19-
Curve Equation t 123728m1 [0,0,0,-10091,-420966] 2 123728m2 [0,0,0,-164971,-25790310] 4 123728m3 [0,0,0,-168491,-24632230] 4 123728m4 [0,0,0,-2639531,-1650586406] 2
123728n (1 curve)	1	2- 11- 19+ 37+	2-  0  1  4 11-  0 -1 19+
Curve Equation t Generators 123728n1 [0,0,0,-6228707,5983524322] 1 [-849:103246:1]
123728o (1 curve)	1	2- 11- 19+ 37+	2-  0  4 -2 11-  0  5 19+
Curve Equation t Generators 123728o1 [0,0,0,-61088,4249200] 1 [7275:73205:27]
123728p (1 curve)	0	2- 11- 19+ 37-	2-  0  2  4 11- -2 -7 19+
Curve Equation t 123728p1 [0,0,0,-344,2092] 1
123728q (1 curve)	0	2- 11- 19+ 37-	2-  2  2 -2 11- -2  5 19+
Curve Equation t 123728q1 [0,-1,0,-837,-9043] 1
123728r (1 curve)	0	2- 11- 19+ 37-	2-  3 -4  1 11- -5 -1 19+
Curve Equation t 123728r1 [0,0,0,-339067,-106878550] 1
123728s (1 curve)	0	2- 11- 19- 37+	2-  1  0 -3 11- -7  3 19-
Curve Equation t 123728s1 [0,1,0,-4649688,-3860630764] 1

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

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