Cremona's table of elliptic curves

11172 = 2² · 3 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
11172a (2 curves)	1	2- 3+ 7- 19+	2- 3+  0 7- -4  2 -4 19+
Curve Equation t Generators 11172a1 [0,-1,0,-11433,191178] 2 [-33:729:1] 11172a2 [0,-1,0,-150348,22473144] 2 [-114:6174:1]
11172b (1 curve)	1	2- 3+ 7- 19+	2- 3+ -1 7-  4  4  1 19+
Curve Equation t Generators 11172b1 [0,-1,0,19,57] 1 [-1:6:1]
11172c (2 curves)	1	2- 3+ 7- 19+	2- 3+  2 7- -2 -2 -2 19+
Curve Equation t Generators 11172c1 [0,-1,0,-15157,731158] 2 [-9:931:1] 11172c2 [0,-1,0,-243252,46258920] 2 [282:90:1]
11172d (2 curves)	1	2- 3+ 7- 19+	2- 3+  2 7- -2  6 -2 19+
Curve Equation t Generators 11172d1 [0,-1,0,-11237,-1058322] 2 [166:1274:1] 11172d2 [0,-1,0,-239332,-44943800] 2 [14362:582855:8]
11172e (2 curves)	1	2- 3+ 7- 19+	2- 3+  2 7-  4 -2  2 19+
Curve Equation t Generators 11172e1 [0,-1,0,-37,-62] 2 [26:126:1] 11172e2 [0,-1,0,68,-440] 2 [202:1035:8]
11172f (1 curve)	1	2- 3+ 7- 19+	2- 3+ -2 7-  3 -2 -1 19+
Curve Equation t Generators 11172f1 [0,-1,0,-6889269,-6957681471] 1 [7508264277938387193096:94808272078372767446799:2419590733710277499]
11172g (2 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7- -4 -2  6 19+
Curve Equation t Generators 11172g1 [0,-1,0,-756429,252275598] 2 [231:9477:1] 11172g2 [0,-1,0,-339684,528494184] 2 [574:22854:1]
11172h (2 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  6 -2  2 19+
Curve Equation t Generators 11172h1 [0,-1,0,2148291,370151370] 2 [17228901534854:1454472419340122:2532139147] 11172h2 [0,-1,0,-9028364,3039136584] 2 [12210463449230409105090:939196052542110913398303:1713843316584042344]
11172i (2 curves)	1	2- 3+ 7- 19+	2- 3+  3 7-  3 -2 -6 19+
Curve Equation t Generators 11172i1 [0,-1,0,-9,162] 1 [9:27:1] 11172i2 [0,-1,0,-2529,49806] 1 [30:6:1]
11172j (1 curve)	0	2- 3+ 7- 19-	2- 3+ -1 7-  5  2  2 19-
Curve Equation t 11172j1 [0,-1,0,-3201,-80478] 1
11172k (2 curves)	0	2- 3+ 7- 19-	2- 3+ -4 7-  0  2  0 19-
Curve Equation t 11172k1 [0,-1,0,-19665,1067886] 2 11172k2 [0,-1,0,-21380,872376] 2
11172l (1 curve)	1	2- 3- 7+ 19+	2- 3-  1 7+  5 -2 -2 19+
Curve Equation t Generators 11172l1 [0,1,0,-65,216] 1 [-5:21:1]
11172m (1 curve)	0	2- 3- 7+ 19-	2- 3-  1 7+  4 -4 -1 19-
Curve Equation t 11172m1 [0,1,0,915,-21393] 1
11172n (1 curve)	0	2- 3- 7+ 19-	2- 3-  2 7+  3  2  1 19-
Curve Equation t 11172n1 [0,1,0,-140597,20244615] 1
11172o (2 curves)	0	2- 3- 7+ 19-	2- 3- -3 7+  3  2  6 19-
Curve Equation t 11172o1 [0,1,0,-457,-54664] 3 11172o2 [0,1,0,-123937,-16835596] 1
11172p (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7- -2 -6  8 19+
Curve Equation t 11172p1 [0,1,0,12087,545880] 2 11172p2 [0,1,0,-71948,5184612] 2
11172q (1 curve)	0	2- 3- 7- 19+	2- 3-  3 7- -5  6  5 19+
Curve Equation t 11172q1 [0,1,0,131,-3361] 1
11172r (2 curves)	0	2- 3- 7- 19+	2- 3-  4 7-  0 -2  0 19+
Curve Equation t 11172r1 [0,1,0,-401,-3228] 2 11172r2 [0,1,0,-436,-2668] 2
11172s (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  2 -2  0 19-
Curve Equation t Generators 11172s1 [0,1,0,-5553,7800624] 2 [-75:2793:1] 11172s2 [0,1,0,-624668,187591620] 2 [856:-16758:1]
11172t (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -4 -2  4 19-
Curve Equation t Generators 11172t1 [0,1,0,-233,-624] 2 [-11:27:1] 11172t2 [0,1,0,-3068,-66396] 2 [-32:6:1]
11172u (2 curves)	1	2- 3- 7- 19-	2- 3-  2 7- -4  2 -6 19-
Curve Equation t Generators 11172u1 [0,1,0,-15437,-739908] 2 [-71:57:1] 11172u2 [0,1,0,-6932,-1542780] 2 [268:3990:1]
11172v (2 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  2 -2 -6 19-
Curve Equation t Generators 11172v1 [0,1,0,131,-6448] 2 [44:294:1] 11172v2 [0,1,0,-4524,-114444] 2 [-45:6:1]
11172w (2 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  4  2 -2 19-
Curve Equation t Generators 11172w1 [0,1,0,-1829,24912] 2 [-358:1107:8] 11172w2 [0,1,0,3316,144276] 2 [-162198:1032011:5832]

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

Part of Computational Number Theory
Back to Tables and computations