Cremona's table of elliptic curves

18249 = 3 · 7 · 11 · 79

Class	r	Atkin-Lehner	Eigenvalues
18249a (1 curve)	1	3+ 7+ 11+ 79+	-2 3+  2 7+ 11+  3 -2 -5
Curve Equation t Generators 18249a1 [0,-1,1,-22,-102] 1 [13:40:1]
18249b (1 curve)	0	3+ 7+ 11+ 79-	2 3+  0 7+ 11+  1  0 -7
Curve Equation t 18249b1 [0,-1,1,72,-61] 1
18249c (4 curves)	0	3+ 7+ 11- 79+	-1 3+ -2 7+ 11- -6  2  4
Curve Equation t 18249c1 [1,1,1,-8439,294852] 4 18249c2 [1,1,1,-9044,249356] 4 18249c3 [1,1,1,-49139,-4000714] 2 18249c4 [1,1,1,21371,1599782] 2
18249d (2 curves)	1	3+ 7+ 11- 79-	1 3+  4 7+ 11- -2 -2  0
Curve Equation t Generators 18249d1 [1,1,0,-2729293,888511120] 2 [808320:62556628:125] 18249d2 [1,1,0,9178922,6568729675] 2 [1248256457490:109386323436721:205379000]
18249e (1 curve)	0	3+ 7- 11+ 79+	0 3+  1 7- 11+ -2  4  0
Curve Equation t 18249e1 [0,-1,1,-5115,-139120] 1
18249f (1 curve)	0	3+ 7- 11+ 79+	0 3+ -2 7- 11+  1  4 -3
Curve Equation t 18249f1 [0,-1,1,220331,1443231] 1
18249g (1 curve)	0	3+ 7- 11+ 79+	-2 3+  3 7- 11+  4  0  4
Curve Equation t 18249g1 [0,-1,1,-333704,74309012] 1
18249h (1 curve)	0	3+ 7- 11+ 79+	-2 3+ -4 7- 11+ -3  0 -3
Curve Equation t 18249h1 [0,-1,1,-6397000,-6226497558] 1
18249i (4 curves)	0	3- 7+ 11+ 79+	-1 3-  2 7+ 11+ -2  2  4
Curve Equation t 18249i1 [1,0,0,-1637,23688] 4 18249i2 [1,0,0,-5282,-119925] 4 18249i3 [1,0,0,-79937,-8705250] 2 18249i4 [1,0,0,11053,-711252] 2
18249j (1 curve)	1	3- 7+ 11+ 79-	0 3-  2 7+ 11+  1  0 -3
Curve Equation t Generators 18249j1 [0,1,1,23,124] 1 [2:13:1]
18249k (4 curves)	1	3- 7+ 11+ 79-	-1 3-  2 7+ 11+  2 -2 -8
Curve Equation t Generators 18249k1 [1,0,0,38,83] 2 [3621:40207:27] 18249k2 [1,0,0,-207,720] 4 [-15:30:1] 18249k3 [1,0,0,-1362,-18915] 2 [-636:733:27] 18249k4 [1,0,0,-2972,62103] 2 [-59:211:1]
18249l (1 curve)	1	3- 7+ 11+ 79-	2 3- -4 7+ 11+ -1  4  7
Curve Equation t Generators 18249l1 [0,1,1,-2150,-46315] 1 [506:2183:8]
18249m (2 curves)	0	3- 7+ 11- 79-	1 3-  2 7+ 11-  4  6 -8
Curve Equation t 18249m1 [1,0,1,-45,19] 2 18249m2 [1,0,1,-540,4771] 2
18249n (1 curve)	1	3- 7- 11+ 79+	0 3-  2 7- 11+ -5 -4 -1
Curve Equation t Generators 18249n1 [0,1,1,-187,4999] 1 [-13:73:1]
18249o (1 curve)	1	3- 7- 11- 79-	0 3-  0 7- 11- -1 -2  7
Curve Equation t Generators 18249o1 [0,1,1,-63,173] 1 [3:4:1]
18249p (2 curves)	1	3- 7- 11- 79-	1 3-  0 7- 11-  6  2 -4
Curve Equation t Generators 18249p1 [1,0,1,-1354326,606528139] 2 [1067:18870:1] 18249p2 [1,0,1,-1337991,621876505] 2 [8470:154227:8]

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

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