Cremona's table of elliptic curves

5415 = 3 · 5 · 19²

Class	r	Atkin-Lehner	Eigenvalues
5415a (2 curves)	1	3+ 5+ 19+	1 3+ 5+  2 -4 -2  6 19+
Curve Equation t Generators 5415a1 [1,1,0,12,27] 2 [2:7:1] 5415a2 [1,1,0,-83,198] 2 [-2:20:1]
5415b (1 curve)	1	3+ 5+ 19+	-2 3+ 5+ -2  1  2  2 19+
Curve Equation t Generators 5415b1 [0,-1,1,-13116,396722] 1 [138:1093:1]
5415c (2 curves)	2	3+ 5+ 19-	1 3+ 5+ -2 -6  0 -6 19-
Curve Equation t Generators 5415c1 [1,1,0,6852,13707] 2 [98:1231:1]&[1442:54151:1] 5415c2 [1,1,0,-27443,75438] 2 [-58:1244:1]&[-2:362:1]
5415d (1 curve)	2	3+ 5+ 19-	-2 3+ 5+ -2 -3 -6  6 19-
Curve Equation t Generators 5415d1 [0,-1,1,-6,2] 1 [-1:2:1]&[0:1:1]
5415e (2 curves)	1	3+ 5- 19-	0 3+ 5-  2 -3  4  0 19-
Curve Equation t Generators 5415e1 [0,-1,1,-215,1256] 1 [20:67:1] 5415e2 [0,-1,1,-17315,882761] 1 [77:10:1]
5415f (2 curves)	0	3- 5+ 19+	-1 3- 5+  2 -4  2  6 19+
Curve Equation t 5415f1 [1,0,0,4144,-151545] 2 5415f2 [1,0,0,-30151,-1598794] 2
5415g (1 curve)	0	3- 5+ 19+	2 3- 5+ -2 -3  6  6 19+
Curve Equation t 5415g1 [0,1,1,-2286,-1969] 1
5415h (2 curves)	1	3- 5+ 19-	-1 3- 5+ -2 -2  4  2 19-
Curve Equation t Generators 5415h1 [1,0,0,534,121371] 2 [-37:245:1] 5415h2 [1,0,0,-33761,2323110] 2 [-179:1714:1]
5415i (1 curve)	1	3- 5+ 19-	2 3- 5+ -2  1 -2  2 19-
Curve Equation t Generators 5415i1 [0,1,1,-4734996,-2692708189] 1 [-13638:165479:8]
5415j (2 curves)	1	3- 5- 19+	0 3- 5-  2 -3 -4  0 19+
Curve Equation t Generators 5415j1 [0,1,1,-77735,-8150461] 3 [-149:382:1] 5415j2 [0,1,1,-6250835,-6017354656] 1 [-3961818:-1219:2744]
5415k (8 curves)	0	3- 5- 19-	1 3- 5-  0 -4  2  2 19-
Curve Equation t 5415k1 [1,0,1,-8,-1279] 2 5415k2 [1,0,1,-1813,-29437] 4 5415k3 [1,0,1,-28888,-1892197] 2 5415k4 [1,0,1,-3618,38431] 4 5415k5 [1,0,1,-48743,4135781] 4 5415k6 [1,0,1,12627,291853] 2 5415k7 [1,0,1,-779768,264965501] 2 5415k8 [1,0,1,-39718,5716961] 2
5415l (4 curves)	0	3- 5- 19-	-1 3- 5-  4  4 -2  2 19-
Curve Equation t 5415l1 [1,0,0,8115,1272600] 4 5415l2 [1,0,0,-138090,18437067] 4 5415l3 [1,0,0,-446745,-93110850] 2 5415l4 [1,0,0,-2168715,1229095692] 2

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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