Cremona's table of elliptic curves

37312 = 2⁶ · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
37312a (2 curves)	1	2+ 11+ 53+	2+  0 -2  4 11+ -6 -2 -6
Curve Equation t Generators 37312a1 [0,0,0,-56,104] 2 [1:7:1] 37312a2 [0,0,0,164,720] 2 [45:315:1]
37312b (1 curve)	1	2+ 11+ 53+	2+  1  3  4 11+ -1  4  0
Curve Equation t Generators 37312b1 [0,1,0,-129,-1057] 1 [777:3808:27]
37312c (1 curve)	1	2+ 11+ 53+	2+  1 -3 -2 11+  2 -8  0
Curve Equation t Generators 37312c1 [0,1,0,-275797,-55840589] 1 [218470135398:-25971731994473:15438249]
37312d (1 curve)	1	2+ 11+ 53+	2+  1 -3 -4 11+  0 -4  0
Curve Equation t Generators 37312d1 [0,1,0,-14437,-672509] 1 [12378:485533:8]
37312e (1 curve)	1	2+ 11+ 53+	2+ -3  1 -2 11+ -6  0  0
Curve Equation t Generators 37312e1 [0,0,0,128,928] 1 [9:53:1]
37312f (1 curve)	1	2+ 11+ 53+	2+ -3  1  4 11+  0  4  0
Curve Equation t Generators 37312f1 [0,0,0,-1700752,-2099204192] 1 [3781119681320372885500:-900175057715231216912641:66676466375000000]
37312g (1 curve)	0	2+ 11+ 53-	2+  1 -4  4 11+ -1  1  3
Curve Equation t 37312g1 [0,1,0,-22945,-1771841] 1
37312h (2 curves)	0	2+ 11+ 53-	2+ -1  0  2 11+ -5  3  7
Curve Equation t 37312h1 [0,-1,0,-20193,2212705] 1 37312h2 [0,-1,0,173407,-45807839] 1
37312i (1 curve)	0	2+ 11+ 53-	2+ -1  1 -2 11+  6 -6  2
Curve Equation t 37312i1 [0,-1,0,-375,-2771] 1
37312j (1 curve)	0	2+ 11+ 53-	2+ -1 -3  2 11+  2 -2  6
Curve Equation t 37312j1 [0,-1,0,-33087,-2313299] 1
37312k (1 curve)	0	2+ 11+ 53-	2+ -3  3  2 11+  0  6  8
Curve Equation t 37312k1 [0,0,0,1964,-20822] 1
37312l (4 curves)	0	2+ 11- 53+	2+  0  2  0 11- -6 -6 -4
Curve Equation t 37312l1 [0,0,0,436,-8848] 2 37312l2 [0,0,0,-4684,-109200] 4 37312l3 [0,0,0,-18764,876400] 2 37312l4 [0,0,0,-72524,-7517328] 2
37312m (1 curve)	2	2+ 11- 53+	2+ -1 -3  0 11- -4  0  4
Curve Equation t Generators 37312m1 [0,-1,0,23,-61] 1 [14:53:1]&[22:103:1]
37312n (1 curve)	1	2+ 11- 53-	2+  1  0  2 11-  3  7 -3
Curve Equation t Generators 37312n1 [0,1,0,-3233,69695] 1 [41:88:1]
37312o (1 curve)	1	2+ 11- 53-	2+  1  1  2 11-  6 -6 -2
Curve Equation t Generators 37312o1 [0,1,0,-375,2771] 1 [10:11:1]
37312p (1 curve)	1	2+ 11- 53-	2+  1 -3 -2 11-  2 -2 -6
Curve Equation t Generators 37312p1 [0,1,0,-33087,2313299] 1 [2910:2809:27]
37312q (1 curve)	1	2+ 11- 53-	2+  1 -3 -4 11- -6 -2  0
Curve Equation t Generators 37312q1 [0,1,0,-517,-4829] 1 [102:1007:1]
37312r (1 curve)	1	2+ 11- 53-	2+ -1  0 -2 11- -1  3 -1
Curve Equation t Generators 37312r1 [0,-1,0,-33,-3935] 1 [19:44:1]
37312s (4 curves)	0	2- 11+ 53+	2-  0  2  0 11+ -6 -6  4
Curve Equation t 37312s1 [0,0,0,436,8848] 2 37312s2 [0,0,0,-4684,109200] 4 37312s3 [0,0,0,-18764,-876400] 2 37312s4 [0,0,0,-72524,7517328] 2
37312t (1 curve)	2	2- 11+ 53+	2-  1 -3  0 11+ -4  0 -4
Curve Equation t Generators 37312t1 [0,1,0,23,61] 1 [-6:-53:8]&[36:221:1]
37312u (1 curve)	0	2- 11+ 53+	2-  3 -1 -4 11+ -3  0  8
Curve Equation t 37312u1 [0,0,0,-268,2864] 1
37312v (1 curve)	1	2- 11+ 53-	2-  1  0  2 11+ -1  3  1
Curve Equation t Generators 37312v1 [0,1,0,-33,3935] 1 [7:-64:1]
37312w (1 curve)	1	2- 11+ 53-	2- -1  0 -2 11+  3  7  3
Curve Equation t Generators 37312w1 [0,-1,0,-3233,-69695] 1 [69:176:1]
37312x (1 curve)	1	2- 11+ 53-	2- -1 -3  4 11+ -6 -2  0
Curve Equation t Generators 37312x1 [0,-1,0,-517,4829] 1 [4:53:1]
37312y (2 curves)	1	2- 11+ 53-	2-  2  2  0 11+ -2 -2 -4
Curve Equation t Generators 37312y1 [0,-1,0,-32,-10] 2 [-134970:6551:27000] 37312y2 [0,-1,0,-297,2057] 2 [-528:55:27]
37312z (2 curves)	1	2- 11- 53+	2-  0 -2 -4 11- -6 -2  6
Curve Equation t Generators 37312z1 [0,0,0,-56,-104] 2 [-6:4:1] 37312z2 [0,0,0,164,-720] 2 [5:15:1]
37312ba (1 curve)	1	2- 11- 53+	2- -1  3 -4 11- -1  4  0
Curve Equation t Generators 37312ba1 [0,-1,0,-129,1057] 1 [-11:32:1]
37312bb (1 curve)	1	2- 11- 53+	2- -1 -3  2 11-  2 -8  0
Curve Equation t Generators 37312bb1 [0,-1,0,-275797,55840589] 1 [284:583:1]
37312bc (1 curve)	1	2- 11- 53+	2- -1 -3  4 11-  0 -4  0
Curve Equation t Generators 37312bc1 [0,-1,0,-14437,672509] 1 [554:53:8]
37312bd (1 curve)	1	2- 11- 53+	2-  3  1  2 11- -6  0  0
Curve Equation t Generators 37312bd1 [0,0,0,128,-928] 1 [66615:325261:3375]
37312be (1 curve)	1	2- 11- 53+	2-  3  1 -4 11-  0  4  0
Curve Equation t Generators 37312be1 [0,0,0,-1700752,2099204192] 1 [-1326804:93892733:1728]
37312bf (1 curve)	1	2- 11- 53+	2- -3 -1  4 11- -3  0 -8
Curve Equation t Generators 37312bf1 [0,0,0,-268,-2864] 1 [26:88:1]
37312bg (2 curves)	2	2- 11- 53-	2-  1  0 -2 11- -5  3 -7
Curve Equation t Generators 37312bg1 [0,1,0,-20193,-2212705] 1 [181:308:1]&[247:2816:1] 37312bg2 [0,1,0,173407,45807839] 1 [-127:4664:1]&[9095:868352:1]
37312bh (1 curve)	2	2- 11- 53-	2- -1 -4 -4 11- -1  1 -3
Curve Equation t Generators 37312bh1 [0,-1,0,-22945,1771841] 1 [203:2332:1]&[-115:1696:1]
37312bi (2 curves)	0	2- 11- 53-	2- -2  2  0 11- -2 -2  4
Curve Equation t 37312bi1 [0,1,0,-32,10] 2 37312bi2 [0,1,0,-297,-2057] 2
37312bj (1 curve)	0	2- 11- 53-	2-  3  3 -2 11-  0  6 -8
Curve Equation t 37312bj1 [0,0,0,1964,20822] 1

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