Cremona's table of elliptic curves

12834 = 2 · 3² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
12834a (2 curves)	1	2+ 3+ 23- 31-	2+ 3+ -3 -1  3  2  0 -4
Curve Equation t Generators 12834a1 [1,-1,0,-1446,-8892] 3 [-32:78:1] 12834a2 [1,-1,0,-97701,-11729899] 1 [-4866:2497:27]
12834b (1 curve)	2	2+ 3- 23+ 31+	2+ 3- -1 -1  1 -6 -6 -4
Curve Equation t Generators 12834b1 [1,-1,0,-135,589] 1 [-13:11:1]&[2:17:1]
12834c (4 curves)	0	2+ 3- 23+ 31+	2+ 3-  2 -4 -4 -2  2  8
Curve Equation t 12834c1 [1,-1,0,-1971,21109] 2 12834c2 [1,-1,0,-13491,-584843] 4 12834c3 [1,-1,0,-214371,-38149403] 2 12834c4 [1,-1,0,3069,-1939451] 2
12834d (1 curve)	1	2+ 3- 23+ 31-	2+ 3-  1  0  3 -5 -1 -1
Curve Equation t Generators 12834d1 [1,-1,0,-1257264,743268096] 1 [4161:257808:1]
12834e (1 curve)	1	2+ 3- 23+ 31-	2+ 3-  1 -3 -3 -2  2 -4
Curve Equation t Generators 12834e1 [1,-1,0,-3024,-62208] 1 [-32:48:1]
12834f (1 curve)	1	2+ 3- 23- 31+	2+ 3-  1 -3  3 -2 -2  4
Curve Equation t Generators 12834f1 [1,-1,0,-278334,56560036] 1 [440:4154:1]
12834g (2 curves)	1	2- 3+ 23+ 31-	2- 3+  3 -1 -3  2  0 -4
Curve Equation t Generators 12834g1 [1,-1,1,-10856,438059] 3 [21:457:1] 12834g2 [1,-1,1,-13016,253099] 1 [-89:881:1]
12834h (1 curve)	1	2- 3- 23+ 31+	2- 3- -1  1  3 -2  2 -4
Curve Equation t Generators 12834h1 [1,-1,1,-428,-925] 1 [-3:19:1]
12834i (1 curve)	1	2- 3- 23+ 31+	2- 3- -1 -4 -1  1  3  3
Curve Equation t Generators 12834i1 [1,-1,1,-2948,-61297] 1 [159:1783:1]
12834j (2 curves)	1	2- 3- 23+ 31+	2- 3-  2  2 -4 -2  0 -6
Curve Equation t Generators 12834j1 [1,-1,1,-53564,4786175] 2 [105:505:1] 12834j2 [1,-1,1,-857084,305624063] 2 [529:-35:1]
12834k (2 curves)	1	2- 3- 23+ 31+	2- 3-  2 -2  0 -2 -4  2
Curve Equation t Generators 12834k1 [1,-1,1,-721634,-2131417375] 2 [2445:102295:1] 12834k2 [1,-1,1,-29648354,-61766743327] 2 [8397:526171:1]
12834l (2 curves)	0	2- 3- 23+ 31-	2- 3-  0 -1  0  2  3 -4
Curve Equation t 12834l1 [1,-1,1,400,-925] 1 12834l2 [1,-1,1,-4775,145631] 3
12834m (2 curves)	0	2- 3- 23+ 31-	2- 3-  2  4  2  2  6  6
Curve Equation t 12834m1 [1,-1,1,-554,5285] 2 12834m2 [1,-1,1,-8924,326693] 2
12834n (2 curves)	0	2- 3- 23+ 31-	2- 3- -3 -1 -3  2  6 -4
Curve Equation t 12834n1 [1,-1,1,-48422219,-129680474533] 1 12834n2 [1,-1,1,-51971234,-109571979103] 3
12834o (2 curves)	0	2- 3- 23+ 31-	2- 3-  4  0  0  4  2  2
Curve Equation t 12834o1 [1,-1,1,-158,749] 2 12834o2 [1,-1,1,-518,-3571] 2
12834p (2 curves)	0	2- 3- 23+ 31-	2- 3-  4 -4 -6 -6  2 -2
Curve Equation t 12834p1 [1,-1,1,-327083,3731176059] 2 12834p2 [1,-1,1,-38118443,89517563259] 2
12834q (2 curves)	0	2- 3- 23+ 31-	2- 3- -4  4  2  2 -6  6
Curve Equation t 12834q1 [1,-1,1,-1986512,-1084763725] 2 12834q2 [1,-1,1,-31846352,-69165198925] 2
12834r (2 curves)	1	2- 3- 23- 31-	2- 3-  0  4 -4  0 -2  2
Curve Equation t Generators 12834r1 [1,-1,1,-140,-597] 2 [5663:9813:343] 12834r2 [1,-1,1,-230,339] 2 [-66:351:8]
12834s (4 curves)	1	2- 3- 23- 31-	2- 3-  0 -4  0 -4  6  2
Curve Equation t Generators 12834s1 [1,-1,1,-128570,-17712007] 2 [441:3127:1] 12834s2 [1,-1,1,-130010,-17293831] 2 [-213:943:1] 12834s3 [1,-1,1,-169025,-5612335] 6 [6105:472840:1] 12834s4 [1,-1,1,-1643585,806575313] 6 [-1289:28612:1]
12834t (2 curves)	1	2- 3- 23- 31-	2- 3-  2 -2  0 -2  0 -6
Curve Equation t Generators 12834t1 [1,-1,1,-115827404,479834377935] 2 [6173:2493:1] 12834t2 [1,-1,1,-1853238524,30708008008143] 2 [24711:26859:1]
12834u (2 curves)	1	2- 3- 23- 31-	2- 3- -2  2  0  6 -4 -2
Curve Equation t Generators 12834u1 [1,-1,1,-11111,-779745] 2 [185:1770:1] 12834u2 [1,-1,1,-211991,-37500609] 2 [-267:248:1]
12834v (1 curve)	1	2- 3- 23- 31-	2- 3- -3 -2  5  3 -5 -1
Curve Equation t Generators 12834v1 [1,-1,1,-49334,-8330043] 1 [329:3147:1]

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