Cremona's table of elliptic curves

11385 = 3² · 5 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
11385a (1 curve)	0	3+ 5+ 11+ 23-	0 3+ 5+  0 11+  5  2 -5
Curve Equation t 11385a1 [0,0,1,-108,-1276] 1
11385b (2 curves)	1	3+ 5+ 11- 23-	1 3+ 5+  2 11-  2  2 -4
Curve Equation t Generators 11385b1 [1,-1,0,15,136] 2 [12:38:1] 11385b2 [1,-1,0,-330,2275] 2 [6:19:1]
11385c (2 curves)	0	3+ 5- 11+ 23+	-1 3+ 5-  2 11+  2 -2 -4
Curve Equation t 11385c1 [1,-1,1,133,-3806] 2 11385c2 [1,-1,1,-2972,-58454] 2
11385d (1 curve)	1	3+ 5- 11- 23+	0 3+ 5-  0 11-  5 -2 -5
Curve Equation t Generators 11385d1 [0,0,1,-12,47] 1 [-3:7:1]
11385e (1 curve)	1	3- 5+ 11+ 23-	0 3- 5+ -5 11+ -4 -3  4
Curve Equation t Generators 11385e1 [0,0,1,8862,544468] 1 [-26:544:1]
11385f (4 curves)	1	3- 5+ 11+ 23-	-1 3- 5+ -4 11+  2 -2 -4
Curve Equation t Generators 11385f1 [1,-1,1,-2138,38576] 2 [28:-5:1] 11385f2 [1,-1,1,-2183,36902] 4 [-12:253:1] 11385f3 [1,-1,1,-7358,-199078] 2 [-35:138:1] 11385f4 [1,-1,1,2272,165206] 2 [-24:322:1]
11385g (4 curves)	1	3- 5+ 11- 23+	-1 3- 5+  0 11-  6  6  0
Curve Equation t Generators 11385g1 [1,-1,1,-70448,-7179334] 2 [1368:48865:1] 11385g2 [1,-1,1,-70493,-7169668] 4 [-158:150:1] 11385g3 [1,-1,1,-98438,-932344] 2 [-300:1387:1] 11385g4 [1,-1,1,-43268,-12788908] 2 [337:3120:1]
11385h (1 curve)	1	3- 5+ 11- 23+	2 3- 5+  3 11-  0  3 -6
Curve Equation t Generators 11385h1 [0,0,1,-3,153] 1 [-14:95:8]
11385i (2 curves)	0	3- 5+ 11- 23-	0 3- 5+ -1 11- -4 -3 -4
Curve Equation t 11385i1 [0,0,1,-3787518,-2841981786] 1 11385i2 [0,0,1,6382032,-14013035631] 3
11385j (4 curves)	2	3- 5+ 11- 23-	-1 3- 5+  0 11- -6 -6 -4
Curve Equation t Generators 11385j1 [1,-1,1,67,852] 2 [-4:24:1]&[2:30:1] 11385j2 [1,-1,1,-1058,12552] 4 [-22:168:1]&[-10:153:1] 11385j3 [1,-1,1,-3533,-65658] 2 [-33:135:1]&[-28:117:1] 11385j4 [1,-1,1,-16583,826062] 2 [6:849:1]&[50:321:1]
11385k (1 curve)	0	3- 5+ 11- 23-	2 3- 5+  0 11-  3  6 -1
Curve Equation t 11385k1 [0,0,1,11607,-1499801] 1
11385l (1 curve)	0	3- 5+ 11- 23-	-2 3- 5+ -4 11-  5  2  5
Curve Equation t 11385l1 [0,0,1,-2629533,-1641236612] 1
11385m (2 curves)	1	3- 5- 11+ 23+	1 3- 5-  4 11+ -4  0  2
Curve Equation t Generators 11385m1 [1,-1,0,-1584,-23837] 2 [122:1199:1] 11385m2 [1,-1,0,-1089,-39380] 2 [56:242:1]
11385n (2 curves)	0	3- 5- 11+ 23-	1 3- 5-  0 11+  0  0 -6
Curve Equation t 11385n1 [1,-1,0,-549,-4752] 2 11385n2 [1,-1,0,-54,-13365] 2
11385o (1 curve)	0	3- 5- 11+ 23-	2 3- 5-  4 11+  1 -2 -1
Curve Equation t 11385o1 [0,0,1,3363,-49703] 1
11385p (4 curves)	1	3- 5- 11- 23-	-1 3- 5- -4 11- -2  2  4
Curve Equation t Generators 11385p1 [1,-1,1,-1247,-33514] 4 [70:432:1] 11385p2 [1,-1,1,-25052,-1518946] 4 [-92:73:1] 11385p3 [1,-1,1,-400757,-97549144] 2 [1041:24229:1] 11385p4 [1,-1,1,-30227,-842056] 2 [-146:738:1]

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

Part of Computational Number Theory
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