Cremona's table of elliptic curves

48312 = 2³ · 3² · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
48312a (1 curve)	1	2+ 3+ 11+ 61+	2+ 3+ -3  2 11+  0 -3  2
Curve Equation t Generators 48312a1 [0,0,0,-11859,-497074] 1 [662:16786:1]
48312b (2 curves)	1	2+ 3+ 11+ 61+	2+ 3+  4  2 11+ -2 -6  4
Curve Equation t Generators 48312b1 [0,0,0,-423,5050] 2 [50:330:1] 48312b2 [0,0,0,-7683,259150] 2 [-25:660:1]
48312c (1 curve)	0	2+ 3+ 11+ 61-	2+ 3+ -1  2 11+ -5  4  2
Curve Equation t 48312c1 [0,0,0,-243,8046] 1
48312d (1 curve)	2	2+ 3- 11+ 61+	2+ 3- -1  0 11+ -2 -6 -6
Curve Equation t Generators 48312d1 [0,0,0,492,196] 1 [18:-122:1]&[6:58:1]
48312e (1 curve)	0	2+ 3- 11+ 61+	2+ 3-  2  3 11+  4  3  0
Curve Equation t 48312e1 [0,0,0,-6879,-220205] 1
48312f (1 curve)	0	2+ 3- 11+ 61+	2+ 3- -2 -4 11+  1 -3  4
Curve Equation t 48312f1 [0,0,0,-291,-1154] 1
48312g (1 curve)	1	2+ 3- 11+ 61-	2+ 3- -1  0 11+ -2  3  8
Curve Equation t Generators 48312g1 [0,0,0,-3,-236194] 1 [230:3454:1]
48312h (6 curves)	1	2+ 3- 11+ 61-	2+ 3-  2  0 11+ -2  6 -4
Curve Equation t Generators 48312h1 [0,0,0,-30864234,150900881033] 4 [-1192350332632:78144661370853:208527857] 48312h2 [0,0,0,-653927079,6430502070650] 4 [639666987739477525730:6949983051547300175411:40896028277677000] 48312h3 [0,0,0,-816683619,2983676617838] 2 [3231872218120954782018660378989357498830:-849351673628998643611894802429516723925419:40944018077968432727968050137867000] 48312h4 [0,0,0,-10460176059,411771803658950] 4 [97864156260777334922698443525250423550:-17623623199471345044361974385668682251270:1013205384943926891350303968208729] 48312h5 [0,0,0,-10457518899,411991459916078] 2 [291307163917143284259853432205042245232744677626177508405989560985918296294:-52486799264640619206611878203432171267874865389285593369081662821421943264630:3016398054185015975492183410353601436997361189223007098461458406297049] 48312h6 [0,0,0,-167362816899,26353395449053022] 2 [697875910388193817293469058635117174515074432326439930116259996462006:-15958456009082262524764246135149110297899255260674508245632621967112630:2874776562534104396442352540851692851391936165759620110525525449]
48312i (1 curve)	1	2+ 3- 11- 61+	2+ 3-  3  2 11-  1  4 -8
Curve Equation t Generators 48312i1 [0,0,0,-140691,20326862] 1 [1634:2673:8]
48312j (1 curve)	1	2- 3+ 11- 61+	2- 3+  3  2 11-  0  3  2
Curve Equation t Generators 48312j1 [0,0,0,-106731,13420998] 1 [1506:81:8]
48312k (2 curves)	1	2- 3+ 11- 61+	2- 3+ -4  2 11- -2  6  4
Curve Equation t Generators 48312k1 [0,0,0,-3807,-136350] 2 [97:638:1] 48312k2 [0,0,0,-69147,-6997050] 2 [691:16588:1]
48312l (1 curve)	0	2- 3+ 11- 61-	2- 3+  1  2 11- -5 -4  2
Curve Equation t 48312l1 [0,0,0,-27,-298] 1
48312m (4 curves)	1	2- 3- 11+ 61+	2- 3-  2  0 11+  2  2  0
Curve Equation t Generators 48312m1 [0,0,0,1041,41650] 2 [-22:90:1] 48312m2 [0,0,0,-13539,551950] 4 [950:29070:1] 48312m3 [0,0,0,-49179,-3589418] 2 [-934273890:-5233188353:6859000] 48312m4 [0,0,0,-211179,37352518] 2 [1314283770:289510771:4913000]
48312n (2 curves)	0	2- 3- 11+ 61-	2- 3- -2  0 11+  2  6 -6
Curve Equation t 48312n1 [0,0,0,5364609,3312960770] 2 48312n2 [0,0,0,-26521851,29249407334] 2
48312o (1 curve)	0	2- 3- 11- 61+	2- 3-  0 -2 11- -3  3 -8
Curve Equation t 48312o1 [0,0,0,-85275,-9584298] 1
48312p (2 curves)	0	2- 3- 11- 61+	2- 3-  0 -4 11-  6  6 -8
Curve Equation t 48312p1 [0,0,0,285,5902] 2 48312p2 [0,0,0,-3675,77974] 2
48312q (4 curves)	1	2- 3- 11- 61-	2- 3- -2 -4 11- -2  2 -4
Curve Equation t Generators 48312q1 [0,0,0,3489,64226] 4 [-5:216:1] 48312q2 [0,0,0,-18291,582590] 4 [203:2288:1] 48312q3 [0,0,0,-125211,-16631530] 2 [446:4030:1] 48312q4 [0,0,0,-259851,50972006] 2 [2722:11167:8]

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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