Cremona's table of elliptic curves

12397 = 7² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
12397a (1 curve)	1	7+ 11- 23-	2  1  2 7+ 11-  0 -2 -1
Curve Equation t Generators 12397a1 [0,1,1,-2172,38203] 1 [19090:63227:1000]
12397b (2 curves)	0	7- 11+ 23+	0  2 -3 7- 11+ -2  0 -2
Curve Equation t 12397b1 [0,-1,1,-947,-11915] 1 12397b2 [0,-1,1,5913,13810] 1
12397c (1 curve)	0	7- 11+ 23+	-1  1 -1 7- 11+ -1  6  7
Curve Equation t 12397c1 [1,0,0,-7596,-255403] 1
12397d (1 curve)	2	7- 11+ 23+	-1 -1  1 7- 11+  1 -6 -7
Curve Equation t Generators 12397d1 [1,1,1,-155,678] 1 [-14:25:1]&[6:0:1]
12397e (2 curves)	1	7- 11+ 23-	1  0  4 7- 11+  4 -8  8
Curve Equation t Generators 12397e1 [1,-1,0,-7318355,-7618430072] 2 [18952727651996441357012442:3532363198187405308377385009:539373419691666741208] 12397e2 [1,-1,0,-117093790,-487666407327] 2 [406634473425664402985008069604852768386427980090:72736184504469068659759870501383827046126479811937:11350830790160954702695071597469234467671000]
12397f (2 curves)	1	7- 11+ 23-	1  0 -4 7- 11+ -4  8 -8
Curve Equation t Generators 12397f1 [1,-1,0,-149354,22253839] 2 [198:545:1] 12397f2 [1,-1,0,-2389669,1422450714] 2 [7150:-3161:8]
12397g (1 curve)	1	7- 11+ 23-	-1  1  1 7- 11+  1  0 -5
Curve Equation t Generators 12397g1 [1,0,0,-295,1798] 1 [18:40:1]
12397h (1 curve)	1	7- 11+ 23-	-2  0  1 7- 11+ -2  4  8
Curve Equation t Generators 12397h1 [0,0,1,343,-4202] 1 [98:339:8]
12397i (1 curve)	1	7- 11+ 23-	-2  0 -1 7- 11+  2 -4 -8
Curve Equation t Generators 12397i1 [0,0,1,7,12] 1 [0:3:1]
12397j (1 curve)	1	7- 11- 23+	1  3 -3 7- 11-  1 -4  5
Curve Equation t Generators 12397j1 [1,-1,0,-12406,387701] 1 [732:6815:27]
12397k (1 curve)	0	7- 11- 23-	1  1  1 7- 11- -7  6  7
Curve Equation t 12397k1 [1,0,1,-240868,45480355] 1
12397l (1 curve)	0	7- 11- 23-	1 -1 -1 7- 11-  7 -6 -7
Curve Equation t 12397l1 [1,1,0,-11802508,-15611564359] 1
12397m (2 curves)	0	7- 11- 23-	1  2 -4 7- 11- -2 -6 -4
Curve Equation t 12397m1 [1,1,0,2523,-58960] 2 12397m2 [1,1,0,-16342,-606045] 2
12397n (2 curves)	0	7- 11- 23-	1 -2  4 7- 11-  2  6  4
Curve Equation t 12397n1 [1,0,1,51,179] 2 12397n2 [1,0,1,-334,1719] 2
12397o (2 curves)	0	7- 11- 23-	-1  2  4 7- 11-  6 -4  4
Curve Equation t 12397o1 [1,1,1,489,10436] 2 12397o2 [1,1,1,-5146,123136] 2
12397p (1 curve)	0	7- 11- 23-	-1  3  3 7- 11-  1  6  7
Curve Equation t 12397p1 [1,-1,1,-70251,-3063896] 1
12397q (1 curve)	2	7- 11- 23-	-1 -3 -3 7- 11- -1 -6 -7
Curve Equation t Generators 12397q1 [1,-1,1,-1434,9342] 1 [758:-7159:8]&[2:79:1]
12397r (1 curve)	0	7- 11- 23-	2 -1 -2 7- 11-  0  2  1
Curve Equation t 12397r1 [0,-1,1,-44,-99] 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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