Cremona's table of elliptic curves

15111 = 3² · 23 · 73

Class	r	Atkin-Lehner	Eigenvalues
15111a (1 curve)	1	3+ 23+ 73+	0 3+ -1  2  4  4 -7  5
Curve Equation t Generators 15111a1 [0,0,1,-18,57] 1 [11:34:1]
15111b (1 curve)	0	3+ 23- 73+	0 3+  1  2 -4  4  7  5
Curve Equation t 15111b1 [0,0,1,-162,-1546] 1
15111c (2 curves)	2	3- 23+ 73+	-1 3-  0 -2 -2 -2 -4 -4
Curve Equation t Generators 15111c1 [1,-1,1,130,4020] 2 [-10:45:1]&[-4:60:1] 15111c2 [1,-1,1,-3155,65778] 2 [-64:81:1]&[-34:381:1]
15111d (2 curves)	2	3- 23+ 73+	-1 3- -4 -2  2 -2  0 -8
Curve Equation t Generators 15111d1 [1,-1,1,-1967,34310] 2 [22:25:1]&[24:10:1] 15111d2 [1,-1,1,-31532,2162990] 2 [-41:1860:1]&[12:1330:1]
15111e (2 curves)	1	3- 23+ 73-	-1 3- -2 -2  0  2  6  4
Curve Equation t Generators 15111e1 [1,-1,1,-221,-948] 2 [-10:18:1] 15111e2 [1,-1,1,-3326,-72984] 2 [-33:18:1]
15111f (2 curves)	1	3- 23- 73+	1 3-  2  0 -4 -2  6  6
Curve Equation t Generators 15111f1 [1,-1,0,234,-473] 2 [1992:10279:512] 15111f2 [1,-1,0,-981,-3146] 2 [-210:611:8]
15111g (2 curves)	1	3- 23- 73+	-1 3-  0  2  0 -2  4  8
Curve Equation t Generators 15111g1 [1,-1,1,-7250,-235776] 2 [958:5727:8] 15111g2 [1,-1,1,-7385,-226434] 2 [-45:137:1]
15111h (2 curves)	1	3- 23- 73+	-1 3-  0  2 -6 -2  4 -4
Curve Equation t Generators 15111h1 [1,-1,1,-89735,10368798] 2 [248:1698:1] 15111h2 [1,-1,1,-88700,10618854] 2 [111:1404:1]
15111i (2 curves)	1	3- 23- 73+	-1 3-  0 -2  2  6 -4 -4
Curve Equation t Generators 15111i1 [1,-1,1,-72320,-7465750] 2 [1170:38254:1] 15111i2 [1,-1,1,-63005,-9466612] 2 [400827:13135543:343]
15111j (2 curves)	1	3- 23- 73+	-1 3- -2 -4 -2 -2 -6  2
Curve Equation t Generators 15111j1 [1,-1,1,1624,-19110] 2 [38:291:1] 15111j2 [1,-1,1,-8231,-164964] 2 [-73:243:1]

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

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