Cremona's table of elliptic curves

7176 = 2³ · 3 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
7176a (2 curves)	1	2+ 3+ 13+ 23+	2+ 3+ -2  2  4 13+  2 -6
Curve Equation t Generators 7176a1 [0,-1,0,-939,3744] 2 [4:6:1] 7176a2 [0,-1,0,-11924,504660] 2 [38:324:1]
7176b (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0 -2  6 13-  2 -6
Curve Equation t Generators 7176b1 [0,-1,0,-663,-6084] 2 [-13:13:1] 7176b2 [0,-1,0,372,-24300] 2 [38:208:1]
7176c (4 curves)	1	2+ 3+ 13- 23-	2+ 3+ -2 -4  0 13-  2  0
Curve Equation t Generators 7176c1 [0,-1,0,-152599,3260020] 4 [12:1196:1] 7176c2 [0,-1,0,-1551804,-739997676] 4 [16089:2034396:1] 7176c3 [0,-1,0,-24796064,-47516746500] 2 [5627363:-682685172:343] 7176c4 [0,-1,0,-694824,-1554128676] 4 [12290:1358708:1]
7176d (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  2 -2 -4 13+  2  6
Curve Equation t Generators 7176d1 [0,1,0,-27,18] 2 [-3:9:1] 7176d2 [0,1,0,-372,2640] 2 [20:60:1]
7176e (2 curves)	1	2+ 3- 13- 23+	2+ 3-  0 -2  2 13-  2 -2
Curve Equation t Generators 7176e1 [0,1,0,52,0] 2 [16:72:1] 7176e2 [0,1,0,-208,-208] 2 [-4:24:1]
7176f (4 curves)	1	2+ 3- 13- 23+	2+ 3-  2  0 -4 13- -6 -4
Curve Equation t Generators 7176f1 [0,1,0,73,150] 2 [1:15:1] 7176f2 [0,1,0,-332,960] 4 [28:120:1] 7176f3 [0,1,0,-2672,-53328] 2 [67:270:1] 7176f4 [0,1,0,-4472,113568] 4 [1092:36036:1]
7176g (2 curves)	0	2+ 3- 13- 23-	2+ 3- -2  2  0 13- -6  8
Curve Equation t 7176g1 [0,1,0,-304,-2320] 2 7176g2 [0,1,0,-4984,-137104] 2
7176h (2 curves)	0	2+ 3- 13- 23-	2+ 3-  4  0 -4 13-  0  6
Curve Equation t 7176h1 [0,1,0,-96,432] 2 7176h2 [0,1,0,-1656,25392] 2
7176i (2 curves)	0	2+ 3- 13- 23-	2+ 3-  4 -2  6 13- -2  2
Curve Equation t 7176i1 [0,1,0,-31,-58] 2 7176i2 [0,1,0,84,-288] 2
7176j (2 curves)	1	2- 3+ 13+ 23-	2- 3+  2 -2  0 13+  6 -2
Curve Equation t Generators 7176j1 [0,-1,0,-27,60] 2 [5:5:1] 7176j2 [0,-1,0,-92,-252] 2 [-4:6:1]
7176k (2 curves)	1	2- 3+ 13- 23+	2- 3+  0 -2  2 13- -2  6
Curve Equation t Generators 7176k1 [0,-1,0,-148,868] 2 [4:18:1] 7176k2 [0,-1,0,-2488,48604] 2 [6:184:1]
7176l (4 curves)	1	2- 3+ 13- 23+	2- 3+ -2  4  4 13- -6  4
Curve Equation t Generators 7176l1 [0,-1,0,396,-4860] 4 [108:1134:1] 7176l2 [0,-1,0,-2984,-49476] 4 [1770:25389:8] 7176l3 [0,-1,0,-45104,-3671796] 2 [752262:5815755:2744] 7176l4 [0,-1,0,-14944,663340] 2 [1343322:17869733:5832]
7176m (2 curves)	1	2- 3- 13+ 23+	2- 3-  0  2  0 13+  4 -6
Curve Equation t Generators 7176m1 [0,1,0,972,0] 2 [6:78:1] 7176m2 [0,1,0,-3888,-3888] 2 [-24:276:1]
7176n (2 curves)	1	2- 3- 13+ 23+	2- 3- -2  2  0 13+ -2  2
Curve Equation t Generators 7176n1 [0,1,0,-17499,-772650] 2 [-93:243:1] 7176n2 [0,1,0,-269004,-53789904] 2 [-300:36:1]
7176o (4 curves)	0	2- 3- 13- 23+	2- 3-  2  0  0 13-  2  8
Curve Equation t 7176o1 [0,1,0,-3080532,2089294272] 4 7176o2 [0,1,0,-49349352,133418712960] 4 7176o3 [0,1,0,-49410192,133073190432] 2 7176o4 [0,1,0,-789589632,8539587332640] 2
7176p (2 curves)	1	2- 3- 13- 23-	2- 3-  0 -2  2 13- -6  2
Curve Equation t Generators 7176p1 [0,1,0,-343,2330] 2 [-13:69:1] 7176p2 [0,1,0,-228,4032] 2 [6:54:1]

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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