Cremona's table of elliptic curves

1155 = 3 · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
1155a (4 curves)	1	3+ 5+ 7+ 11+	-1 3+ 5+ 7+ 11+ -2  6  4
Curve Equation t Generators 1155a1 [1,1,1,-11,-16] 2 [-2:2:1] 1155a2 [1,1,1,-56,128] 4 [-4:19:1] 1155a3 [1,1,1,-881,9698] 2 [17:-7:1] 1155a4 [1,1,1,49,674] 2 [-1:25:1]
1155b (1 curve)	1	3+ 5+ 7+ 11+	2 3+ 5+ 7+ 11+ -2 -3 -5
Curve Equation t Generators 1155b1 [0,-1,1,8294,284721] 1 [20298:1022895:8]
1155c (4 curves)	0	3+ 5+ 7- 11+	1 3+ 5+ 7- 11+ -2  6  4
Curve Equation t 1155c1 [1,1,0,-203,1032] 2 1155c2 [1,1,0,-248,483] 4 1155c3 [1,1,0,-2123,-38142] 2 1155c4 [1,1,0,907,4872] 2
1155d (1 curve)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11-  0  3 -3
Curve Equation t Generators 1155d1 [0,-1,1,-131,1916] 1 [16:60:1]
1155e (6 curves)	1	3+ 5- 7+ 11-	-1 3+ 5- 7+ 11- -2 -6 -4
Curve Equation t Generators 1155e1 [1,1,1,-265,1550] 4 [34:165:1] 1155e2 [1,1,1,-270,1482] 8 [-14:59:1] 1155e3 [1,1,1,-875,-8440] 4 [-22:38:1] 1155e4 [1,1,1,255,7152] 4 [-9:69:1] 1155e5 [1,1,1,-13250,-592540] 2 [-67:38:1] 1155e6 [1,1,1,1820,-47248] 2 [52:411:1]
1155f (4 curves)	1	3+ 5- 7- 11+	1 3+ 5- 7- 11+ -2 -6  4
Curve Equation t Generators 1155f1 [1,1,0,-16242,-803529] 2 [182:1429:1] 1155f2 [1,1,0,-16247,-803016] 4 [248:3116:1] 1155f3 [1,1,0,-20702,-333459] 4 [212:2099:1] 1155f4 [1,1,0,-11872,-1239641] 2 [5014:120913:8]
1155g (1 curve)	1	3+ 5- 7- 11+	-2 3+ 5- 7- 11+ -2 -3  1
Curve Equation t Generators 1155g1 [0,-1,1,0,8] 1 [-1:2:1]
1155h (4 curves)	1	3- 5+ 7+ 11-	1 3- 5+ 7+ 11- -2 -2 -4
Curve Equation t Generators 1155h1 [1,0,1,-4,-19] 2 [273:706:27] 1155h2 [1,0,1,-129,-569] 4 [41:231:1] 1155h3 [1,0,1,-2054,-35989] 2 [438:803:8] 1155h4 [1,0,1,-204,151] 2 [-11:38:1]
1155i (1 curve)	1	3- 5+ 7+ 11-	-2 3- 5+ 7+ 11- -2  1 -7
Curve Equation t Generators 1155i1 [0,1,1,-126,506] 1 [9:-14:1]
1155j (2 curves)	1	3- 5+ 7- 11+	0 3- 5+ 7- 11+ -4  3 -1
Curve Equation t Generators 1155j1 [0,1,1,-1,-35] 3 [11:37:1] 1155j2 [0,1,1,-841,-9674] 1 [410:2321:8]
1155k (1 curve)	1	3- 5- 7+ 11+	0 3- 5- 7+ 11+ -4 -5  1
Curve Equation t Generators 1155k1 [0,1,1,545,2734] 1 [26:-188:1]
1155l (4 curves)	0	3- 5- 7- 11+	1 3- 5- 7- 11+  6  2  4
Curve Equation t 1155l1 [1,0,1,-3158,4403] 2 1155l2 [1,0,1,-35963,2615681] 4 1155l3 [1,0,1,-575018,167782133] 4 1155l4 [1,0,1,-21788,4702241] 2
1155m (6 curves)	0	3- 5- 7- 11+	-1 3- 5- 7- 11+ -2  2  4
Curve Equation t 1155m1 [1,0,0,35,-23128] 4 1155m2 [1,0,0,-11970,-496125] 8 1155m3 [1,0,0,-190575,-32037768] 4 1155m4 [1,0,0,-25445,821730] 4 1155m5 [1,0,0,-3049200,-2049655293] 2 1155m6 [1,0,0,-189630,-32370975] 2
1155n (2 curves)	1	3- 5- 7- 11-	-2 3- 5- 7- 11- -6 -7 -5
Curve Equation t Generators 1155n1 [0,1,1,-8940,378056] 5 [-72:808:1] 1155n2 [0,1,1,-26790,-31917424] 1 [12394:483149:8]

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

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