Cremona's table of elliptic curves

12274 = 2 · 17 · 19²

Class	r	Atkin-Lehner	Eigenvalues
12274a (1 curve)	1	2+ 17+ 19+	2+  0  1  4 -2  0 17+ 19+
Curve Equation t Generators 12274a1 [1,-1,0,3001,-37403] 1 [1446:19493:8]
12274b (2 curves)	0	2+ 17+ 19-	2+  0 -2 -2 -2  6 17+ 19-
Curve Equation t 12274b1 [1,-1,0,-146453,-21472139] 2 12274b2 [1,-1,0,-2341333,-1378346955] 2
12274c (1 curve)	2	2+ 17+ 19-	2+ -1 -2 -2 -1  0 17+ 19-
Curve Equation t Generators 12274c1 [1,1,0,-26,46] 1 [-1:9:1]&[5:6:1]
12274d (4 curves)	0	2+ 17+ 19-	2+  2  0 -4  6 -2 17+ 19-
Curve Equation t 12274d1 [1,1,0,-1090,-9036] 2 12274d2 [1,1,0,-15530,-751252] 2 12274d3 [1,1,0,-37190,2744672] 2 12274d4 [1,1,0,-40800,2175014] 2
12274e (2 curves)	0	2+ 17+ 19-	2+  2  4  4  2  6 17+ 19-
Curve Equation t 12274e1 [1,1,0,-87008,-9865780] 2 12274e2 [1,1,0,-1390218,-631496950] 2
12274f (2 curves)	0	2+ 17+ 19-	2+ -2  2  0 -4 -2 17+ 19-
Curve Equation t 12274f1 [1,0,1,-27805,304488] 2 12274f2 [1,0,1,109375,2444496] 2
12274g (1 curve)	0	2+ 17+ 19-	2+  3 -2 -2 -5  0 17+ 19-
Curve Equation t 12274g1 [1,-1,0,236207,12089309] 1
12274h (4 curves)	1	2+ 17- 19-	2+  2  0  2  0 -2 17- 19-
Curve Equation t Generators 12274h1 [1,1,0,-55240,-3574272] 2 [-2391:22675:27] 12274h2 [1,1,0,-329600,69899336] 2 [2257:102937:1] 12274h3 [1,1,0,-1650860,815518844] 2 [2378985:4361063:3375] 12274h4 [1,1,0,-26411850,52234190678] 2 [41794100918535:-20118748498738:14084823375]
12274i (1 curve)	1	2+ 17- 19-	2+ -2 -1  0  2  4 17- 19-
Curve Equation t Generators 12274i1 [1,0,1,-464,3870] 1 [12:2:1]
12274j (1 curve)	0	2- 17+ 19+	2-  1 -2 -2 -1  0 17+ 19+
Curve Equation t 12274j1 [1,0,0,-9574,-391610] 1
12274k (1 curve)	2	2- 17+ 19+	2- -3 -2 -2 -5  0 17+ 19+
Curve Equation t Generators 12274k1 [1,-1,1,654,-1935] 1 [3:5:1]&[43:-345:1]
12274l (1 curve)	1	2- 17+ 19-	2-  0  1  4 -2  0 17+ 19-
Curve Equation t Generators 12274l1 [1,-1,1,8,3] 1 [3:5:1]
12274m (2 curves)	1	2- 17+ 19-	2-  0  4 -2  4 -6 17+ 19-
Curve Equation t Generators 12274m1 [1,-1,1,-45193,3703369] 2 [1069:33760:1] 12274m2 [1,-1,1,-30753,6100409] 2 [-131:2870:1]
12274n (1 curve)	1	2- 17- 19+	2-  2 -1  0  2 -4 17- 19+
Curve Equation t Generators 12274n1 [1,1,1,-167331,-26880703] 1 [603:9286:1]

Data from Elliptic Curve Data by J. E. Cremona.
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