Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
1848a (1 curve)	0	2+ 3+ 7- 11+	2+ 3+ -1 7- 11+ -3  4  1
Curve Equation t 1848a1 [0,-1,0,-236,-1323] 1
1848b (4 curves)	1	2+ 3+ 7- 11-	2+ 3+  2 7- 11- -6 -2 -8
Curve Equation t Generators 1848b1 [0,-1,0,-586972,-172895372] 2 [5958:455840:1] 1848b2 [0,-1,0,-586992,-172882980] 4 [962:12320:1] 1848b3 [0,-1,0,-640232,-139597332] 2 [-479:7546:1] 1848b4 [0,-1,0,-534072,-205375860] 2 [119305:1548316:125]
1848c (1 curve)	1	2+ 3+ 7- 11-	2+ 3+ -3 7- 11- -1 -2  7
Curve Equation t Generators 1848c1 [0,-1,0,-12,21] 1 [2:1:1]
1848d (1 curve)	0	2+ 3- 7+ 11+	2+ 3-  1 7+ 11+  3  0  7
Curve Equation t 1848d1 [0,1,0,-1660,26417] 1
1848e (2 curves)	0	2+ 3- 7+ 11+	2+ 3- -4 7+ 11+ -2  0  2
Curve Equation t 1848e1 [0,1,0,-3360,-90576] 2 1848e2 [0,1,0,-56600,-5201616] 2
1848f (1 curve)	1	2+ 3- 7+ 11-	2+ 3- -1 7+ 11-  1 -6 -7
Curve Equation t Generators 1848f1 [0,1,0,44,-847] 1 [44:-297:1]
1848g (1 curve)	1	2+ 3- 7- 11+	2+ 3- -1 7- 11+ -5 -6 -1
Curve Equation t Generators 1848g1 [0,1,0,-56,441] 1 [28:147:1]
1848h (2 curves)	1	2- 3+ 7- 11+	2- 3+  0 7- 11+  2 -8 -6
Curve Equation t Generators 1848h1 [0,-1,0,-8,-132] 2 [14:48:1] 1848h2 [0,-1,0,-448,-3476] 2 [25:18:1]
1848i (1 curve)	1	2- 3- 7+ 11+	2- 3-  1 7+ 11+ -5 -4 -5
Curve Equation t Generators 1848i1 [0,1,0,0,-3] 1 [2:3:1]
1848j (6 curves)	1	2- 3- 7+ 11+	2- 3- -2 7+ 11+ -2  2  4
Curve Equation t Generators 1848j1 [0,1,0,-2079,35802] 4 [42:156:1] 1848j2 [0,1,0,-2084,35616] 8 [-26:270:1] 1848j3 [0,1,0,-3704,-29184] 4 [-32:240:1] 1848j4 [0,1,0,-544,88592] 4 [-13:306:1] 1848j5 [0,1,0,-47264,-3967008] 2 [-982:105:8] 1848j6 [0,1,0,13936,-212640] 2 [115:1710:1]
1848k (4 curves)	0	2- 3- 7+ 11-	2- 3-  2 7+ 11-  6  6  0
Curve Equation t 1848k1 [0,1,0,28,-2208] 4 1848k2 [0,1,0,-2392,-44800] 4 1848k3 [0,1,0,-38032,-2867488] 2 1848k4 [0,1,0,-5472,90720] 2
1848l (1 curve)	1	2- 3- 7- 11-	2- 3- -3 7- 11- -3  4 -7
Curve Equation t Generators 1848l1 [0,1,0,-12,549] 1 [-6:21:1]

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