Cremona's table of elliptic curves

4416 = 2⁶ · 3 · 23

Class	r	Atkin-Lehner	Eigenvalues
4416a (4 curves)	1	2+ 3+ 23+	2+ 3+  0  2  0 -2  0 -2
Curve Equation t Generators 4416a1 [0,-1,0,-2273,44385] 2 [-1:216:1] 4416a2 [0,-1,0,-36833,2733153] 2 [127:296:1] 4416a3 [0,-1,0,12127,85281] 2 [287:5208:1] 4416a4 [0,-1,0,-49313,736545] 2 [112777:1532392:343]
4416b (2 curves)	1	2+ 3+ 23+	2+ 3+  0 -2  4 -2  0  2
Curve Equation t Generators 4416b1 [0,-1,0,-28,-26] 2 [15:52:1] 4416b2 [0,-1,0,87,-279] 2 [5:16:1]
4416c (2 curves)	1	2+ 3+ 23+	2+ 3+  0 -2 -4  6  4 -2
Curve Equation t Generators 4416c1 [0,-1,0,-33,-351] 2 [15:48:1] 4416c2 [0,-1,0,-993,-11679] 2 [47:208:1]
4416d (2 curves)	1	2+ 3+ 23+	2+ 3+  2  2 -2 -6  0  4
Curve Equation t Generators 4416d1 [0,-1,0,23,-23] 2 [3:8:1] 4416d2 [0,-1,0,-97,-95] 2 [15:40:1]
4416e (4 curves)	1	2+ 3+ 23+	2+ 3+  2 -4  0  2 -2  4
Curve Equation t Generators 4416e1 [0,-1,0,-17,273] 2 [1:16:1] 4416e2 [0,-1,0,-737,7905] 4 [-8:115:1] 4416e3 [0,-1,0,-1217,-3135] 2 [67:460:1] 4416e4 [0,-1,0,-11777,495873] 2 [88:365:1]
4416f (2 curves)	1	2+ 3+ 23+	2+ 3+ -2  2  2  2  0 -8
Curve Equation t Generators 4416f1 [0,-1,0,10391,-624407] 2 [291:5192:1] 4416f2 [0,-1,0,-77089,-6555551] 2 [483549:4846024:1331]
4416g (2 curves)	0	2+ 3- 23+	2+ 3-  2  2  2  2 -4  0
Curve Equation t 4416g1 [0,1,0,-257,-2337] 2 4416g2 [0,1,0,-4577,-120705] 2
4416h (2 curves)	0	2+ 3- 23+	2+ 3-  2 -2  6  2  0  0
Curve Equation t 4416h1 [0,1,0,-97,767] 2 4416h2 [0,1,0,-2017,34175] 2
4416i (4 curves)	0	2+ 3- 23+	2+ 3- -2  0  0  2  2  8
Curve Equation t 4416i1 [0,1,0,191,1055] 2 4416i2 [0,1,0,-1089,8991] 4 4416i3 [0,1,0,-6849,-213345] 2 4416i4 [0,1,0,-15809,759711] 4
4416j (2 curves)	1	2+ 3- 23-	2+ 3-  0  2 -4 -2  0 -2
Curve Equation t Generators 4416j1 [0,1,0,-28,26] 2 [5:6:1] 4416j2 [0,1,0,87,279] 2 [3:24:1]
4416k (2 curves)	1	2+ 3- 23-	2+ 3-  0 -2  0 -2  8 -6
Curve Equation t Generators 4416k1 [0,1,0,-11633,483375] 2 [37:324:1] 4416k2 [0,1,0,-186593,30961407] 2 [226:621:1]
4416l (2 curves)	1	2+ 3- 23-	2+ 3-  2 -2  2 -6  0 -4
Curve Equation t Generators 4416l1 [0,1,0,23,23] 2 [2:9:1] 4416l2 [0,1,0,-97,95] 2 [10:15:1]
4416m (2 curves)	1	2+ 3- 23-	2+ 3- -2 -2 -2  2  0  8
Curve Equation t Generators 4416m1 [0,1,0,10391,624407] 2 [-22:621:1] 4416m2 [0,1,0,-77089,6555551] 2 [5:2484:1]
4416n (4 curves)	1	2+ 3- 23-	2+ 3- -2 -4  4  2 -2  0
Curve Equation t Generators 4416n1 [0,1,0,-829,-9469] 2 [47:240:1] 4416n2 [0,1,0,-849,-9009] 4 [-15:24:1] 4416n3 [0,1,0,-3009,52767] 2 [-51:276:1] 4416n4 [0,1,0,991,-41025] 2 [43:288:1]
4416o (2 curves)	1	2+ 3- 23-	2+ 3- -4  2  0 -2 -4  6
Curve Equation t Generators 4416o1 [0,1,0,15,-81] 2 [5:12:1] 4416o2 [0,1,0,-225,-1281] 2 [29:132:1]
4416p (2 curves)	0	2- 3+ 23+	2- 3+  0  2  0 -2  8  6
Curve Equation t 4416p1 [0,-1,0,-11633,-483375] 2 4416p2 [0,-1,0,-186593,-30961407] 2
4416q (4 curves)	0	2- 3+ 23+	2- 3+ -2  4 -4  2 -2  0
Curve Equation t 4416q1 [0,-1,0,-829,9469] 2 4416q2 [0,-1,0,-849,9009] 4 4416q3 [0,-1,0,-3009,-52767] 2 4416q4 [0,-1,0,991,41025] 2
4416r (2 curves)	2	2- 3+ 23+	2- 3+ -4 -2  0 -2 -4 -6
Curve Equation t Generators 4416r1 [0,-1,0,15,81] 2 [-1:8:1]&[0:9:1] 4416r2 [0,-1,0,-225,1281] 2 [-16:23:1]&[-11:48:1]
4416s (2 curves)	0	2- 3+ 23+	2- 3+ -4  4  6 -6 -2  2
Curve Equation t 4416s1 [0,-1,0,-185,-1479] 2 4416s2 [0,-1,0,-3425,-75999] 2
4416t (2 curves)	1	2- 3+ 23-	2- 3+  0  0  2  2 -6  2
Curve Equation t Generators 4416t1 [0,-1,0,7,-135] 2 [9:24:1] 4416t2 [0,-1,0,-353,-2367] 2 [-11:8:1]
4416u (2 curves)	1	2- 3+ 23-	2- 3+  2  2 -6  2  0  0
Curve Equation t Generators 4416u1 [0,-1,0,-97,-767] 2 [16:39:1] 4416u2 [0,-1,0,-2017,-34175] 2 [144:1625:1]
4416v (2 curves)	1	2- 3+ 23-	2- 3+  2 -2 -2  2 -4  0
Curve Equation t Generators 4416v1 [0,-1,0,-257,2337] 2 [8:27:1] 4416v2 [0,-1,0,-4577,120705] 2 [-53:460:1]
4416w (4 curves)	1	2- 3+ 23-	2- 3+ -2  0  0  2  2 -8
Curve Equation t Generators 4416w1 [0,-1,0,191,-1055] 2 [7:24:1] 4416w2 [0,-1,0,-1089,-8991] 4 [135:1512:1] 4416w3 [0,-1,0,-15809,-759711] 2 [-15474:1295:216] 4416w4 [0,-1,0,-6849,213345] 4 [-37:644:1]
4416x (2 curves)	1	2- 3- 23+	2- 3-  0  0 -2  2 -6 -2
Curve Equation t Generators 4416x1 [0,1,0,7,135] 2 [1:12:1] 4416x2 [0,1,0,-353,2367] 2 [-14:69:1]
4416y (2 curves)	0	2- 3- 23-	2- 3-  0  2  4  6  4  2
Curve Equation t 4416y1 [0,1,0,-33,351] 2 4416y2 [0,1,0,-993,11679] 2
4416z (4 curves)	0	2- 3- 23-	2- 3-  0 -2  0 -2  0  2
Curve Equation t 4416z1 [0,1,0,-2273,-44385] 2 4416z2 [0,1,0,-36833,-2733153] 2 4416z3 [0,1,0,12127,-85281] 2 4416z4 [0,1,0,-49313,-736545] 2
4416ba (4 curves)	0	2- 3- 23-	2- 3-  2  4  0  2 -2 -4
Curve Equation t 4416ba1 [0,1,0,-17,-273] 2 4416ba2 [0,1,0,-737,-7905] 4 4416ba3 [0,1,0,-11777,-495873] 2 4416ba4 [0,1,0,-1217,3135] 2
4416bb (2 curves)	2	2- 3- 23-	2- 3- -4 -4 -6 -6 -2 -2
Curve Equation t Generators 4416bb1 [0,1,0,-185,1479] 2 [-14:39:1]&[-5:48:1] 4416bb2 [0,1,0,-3425,75999] 2 [-59:276:1]&[-17:360:1]

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