Cremona's table of elliptic curves

23856 = 2⁴ · 3 · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
23856a (1 curve)	0	2+ 3+ 7+ 71-	2+ 3+  3 7+  3  1  0  8
Curve Equation t 23856a1 [0,-1,0,-19,46] 1
23856b (2 curves)	0	2+ 3+ 7- 71+	2+ 3+  0 7- -4  6  4  8
Curve Equation t 23856b1 [0,-1,0,-168,-1152] 2 23856b2 [0,-1,0,-3008,-62496] 2
23856c (1 curve)	2	2+ 3+ 7- 71+	2+ 3+ -1 7- -5 -5 -6  6
Curve Equation t Generators 23856c1 [0,-1,0,-56,192] 1 [-8:8:1]&[4:-4:1]
23856d (1 curve)	0	2+ 3+ 7- 71+	2+ 3+  3 7-  5  3  0  0
Curve Equation t 23856d1 [0,-1,0,-120779,16302882] 1
23856e (1 curve)	1	2+ 3+ 7- 71-	2+ 3+  1 7- -1  1  4  8
Curve Equation t Generators 23856e1 [0,-1,0,20,-272] 1 [24:116:1]
23856f (1 curve)	1	2+ 3+ 7- 71-	2+ 3+ -3 7-  3  1  0 -4
Curve Equation t Generators 23856f1 [0,-1,0,2828,-42704] 1 [24:196:1]
23856g (1 curve)	0	2+ 3- 7+ 71+	2+ 3-  2 7+  0  0 -8 -7
Curve Equation t 23856g1 [0,1,0,-11432,-999468] 1
23856h (1 curve)	1	2+ 3- 7+ 71-	2+ 3- -1 7+  3  3  4 -4
Curve Equation t Generators 23856h1 [0,1,0,-24836,1529868] 1 [34:852:1]
23856i (4 curves)	1	2+ 3- 7+ 71-	2+ 3-  2 7+  0  2 -2 -4
Curve Equation t Generators 23856i1 [0,1,0,-1492,21692] 2 [47:240:1] 23856i2 [0,1,0,-1512,21060] 4 [-24:210:1] 23856i3 [0,1,0,1008,86580] 2 [-12:270:1] 23856i4 [0,1,0,-4352,-84588] 2 [-26:108:1]
23856j (1 curve)	1	2+ 3- 7- 71+	2+ 3- -1 7-  5  1  4 -4
Curve Equation t Generators 23856j1 [0,1,0,-61836,5897916] 1 [138:108:1]
23856k (4 curves)	1	2+ 3- 7- 71+	2+ 3-  2 7- -4 -2 -2 -4
Curve Equation t Generators 23856k1 [0,1,0,-6532,-225412] 2 [15130:109824:125] 23856k2 [0,1,0,-107352,-13573980] 4 [486:7020:1] 23856k3 [0,1,0,-110192,-12820812] 4 [-146:420:1] 23856k4 [0,1,0,-1717632,-867022380] 2 [3468:186810:1]
23856l (1 curve)	1	2+ 3- 7- 71+	2+ 3- -4 7-  2  4 -2 -1
Curve Equation t Generators 23856l1 [0,1,0,0,84] 1 [-4:6:1]
23856m (1 curve)	2	2+ 3- 7- 71-	2+ 3- -3 7- -3 -5 -2 -6
Curve Equation t Generators 23856m1 [0,1,0,968,78116] 1 [8:294:1]&[-22:216:1]
23856n (4 curves)	1	2- 3+ 7+ 71-	2- 3+  0 7+  0  2  0 -8
Curve Equation t Generators 23856n1 [0,-1,0,-110528,57768960] 2 [578:13662:1] 23856n2 [0,-1,0,-3018688,2014379008] 2 [-716826:78558662:1331] 23856n3 [0,-1,0,-15270848,22974237696] 2 [32:149952:1] 23856n4 [0,-1,0,-244333888,1470102899200] 2 [10114:182754:1]
23856o (2 curves)	1	2- 3+ 7+ 71-	2- 3+  0 7+ -6 -4 -6  1
Curve Equation t Generators 23856o1 [0,-1,0,-168,-7056] 1 [26:74:1] 23856o2 [0,-1,0,1512,189168] 1 [-46:142:1]
23856p (1 curve)	1	2- 3+ 7+ 71-	2- 3+  1 7+ -3  5  2 -6
Curve Equation t Generators 23856p1 [0,-1,0,-105,588] 1 [8:14:1]
23856q (2 curves)	1	2- 3+ 7+ 71-	2- 3+  3 7+ -3 -7  6 -2
Curve Equation t Generators 23856q1 [0,-1,0,-784,21952] 1 [24:128:1] 23856q2 [0,-1,0,-88144,10101952] 1 [264:2272:1]
23856r (2 curves)	1	2- 3+ 7+ 71-	2- 3+  4 7+  0  2 -4  0
Curve Equation t Generators 23856r1 [0,-1,0,-736,-8192] 2 [82:690:1] 23856r2 [0,-1,0,-12096,-508032] 2 [15930:7866:125]
23856s (1 curve)	1	2- 3+ 7- 71+	2- 3+ -1 7- -1  3  2  6
Curve Equation t Generators 23856s1 [0,-1,0,-3416,-78096] 1 [172:2096:1]
23856t (2 curves)	1	2- 3+ 7- 71+	2- 3+ -2 7- -2 -4 -2 -4
Curve Equation t Generators 23856t1 [0,-1,0,296,-29456] 2 [60:448:1] 23856t2 [0,-1,0,-12664,-527120] 2 [-62:126:1]
23856u (1 curve)	0	2- 3+ 7- 71-	2- 3+  0 7-  2 -4 -6  5
Curve Equation t 23856u1 [0,-1,0,-3248,-177216] 1
23856v (1 curve)	0	2- 3+ 7- 71-	2- 3+ -2 7-  4  0  4  3
Curve Equation t 23856v1 [0,-1,0,2816,114688] 1
23856w (1 curve)	1	2- 3- 7+ 71+	2- 3-  0 7+ -2  4 -6 -1
Curve Equation t Generators 23856w1 [0,1,0,-137688,-19717740] 1 [492:5646:1]
23856x (2 curves)	1	2- 3- 7+ 71+	2- 3- -2 7+  6  4  6  4
Curve Equation t Generators 23856x1 [0,1,0,-12664,-727084] 2 [188:1890:1] 23856x2 [0,1,0,-220024,-39793708] 2 [956:24990:1]
23856y (1 curve)	1	2- 3- 7+ 71+	2- 3-  3 7+ -5  1 -6  2
Curve Equation t Generators 23856y1 [0,1,0,231,1278] 1 [6:54:1]
23856z (1 curve)	0	2- 3- 7+ 71-	2- 3-  1 7+  5  3  6 -2
Curve Equation t 23856z1 [0,1,0,55,6] 1
23856ba (4 curves)	0	2- 3- 7+ 71-	2- 3- -2 7+  0  2 -6  4
Curve Equation t 23856ba1 [0,1,0,4976,542996] 2 23856ba2 [0,1,0,-76944,7588116] 4 23856ba3 [0,1,0,-258704,-41923308] 2 23856ba4 [0,1,0,-1205904,509297940] 4
23856bb (1 curve)	0	2- 3- 7- 71+	2- 3-  1 7-  3 -3  6  2
Curve Equation t 23856bb1 [0,1,0,-145,626] 1
23856bc (1 curve)	0	2- 3- 7- 71+	2- 3- -2 7-  0  0  0 -7
Curve Equation t 23856bc1 [0,1,0,-1184,-16140] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations