Cremona's table of elliptic curves

48416 = 2⁵ · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
48416a (2 curves)	0	2+ 17+ 89-	2+  0  0  0  2  4 17+  6
Curve Equation t 48416a1 [0,0,0,-505,-4368] 2 48416a2 [0,0,0,-515,-4186] 2
48416b (2 curves)	2	2+ 17+ 89-	2+  0  0  0 -2  4 17+ -6
Curve Equation t Generators 48416b1 [0,0,0,-505,4368] 2 [11:12:1]&[-663:1196:27] 48416b2 [0,0,0,-515,4186] 2 [10:6:1]&[42:238:1]
48416c (2 curves)	0	2+ 17- 89+	2+  0 -2  2  4  4 17-  2
Curve Equation t 48416c1 [0,0,0,-41,80] 2 48416c2 [0,0,0,-211,-1110] 2
48416d (2 curves)	2	2+ 17- 89+	2+  0 -2 -2 -4  4 17- -2
Curve Equation t Generators 48416d1 [0,0,0,-41,-80] 2 [-3:4:1]&[27:136:1] 48416d2 [0,0,0,-211,1110] 2 [-15:30:1]&[1:30:1]
48416e (1 curve)	0	2+ 17- 89+	2+  3  3  2  6 -1 17-  8
Curve Equation t 48416e1 [0,0,0,-211,1382] 1
48416f (2 curves)	1	2+ 17- 89-	2+  2  2  0  4  0 17-  2
Curve Equation t Generators 48416f1 [0,-1,0,-222,800] 2 [1200:7480:27] 48416f2 [0,-1,0,-3112,67848] 2 [93324:402985:1728]
48416g (2 curves)	1	2+ 17- 89-	2+  2  2 -4  4 -4 17-  2
Curve Equation t Generators 48416g1 [0,-1,0,-235182,-43820560] 2 [-122622580:1656735:438976] 48416g2 [0,-1,0,-238072,-42685368] 2 [879266734260:-7364046473423:1481544000]
48416h (2 curves)	1	2+ 17- 89-	2+ -2  2  0 -4  0 17- -2
Curve Equation t Generators 48416h1 [0,1,0,-222,-800] 2 [33:170:1] 48416h2 [0,1,0,-3112,-67848] 2 [67:170:1]
48416i (2 curves)	1	2+ 17- 89-	2+ -2  2  4 -4 -4 17- -2
Curve Equation t Generators 48416i1 [0,1,0,-235182,43820560] 2 [705:15130:1] 48416i2 [0,1,0,-238072,42685368] 2 [-38:52955:8]
48416j (2 curves)	0	2- 17+ 89+	2-  0  0  2  2  2 17+ -4
Curve Equation t 48416j1 [0,0,0,-65,-144] 2 48416j2 [0,0,0,-955,-11358] 2
48416k (2 curves)	2	2- 17+ 89+	2-  0  0 -2 -2  2 17+  4
Curve Equation t Generators 48416k1 [0,0,0,-65,144] 2 [-7:16:1]&[0:12:1] 48416k2 [0,0,0,-955,11358] 2 [1:102:1]&[82:696:1]
48416l (2 curves)	2	2- 17+ 89+	2-  0 -4  2 -2 -2 17+ -4
Curve Equation t Generators 48416l1 [0,0,0,-1697,-26800] 2 [-23:8:1]&[103:944:1] 48416l2 [0,0,0,-2587,4350] 2 [-31:234:1]&[1:42:1]
48416m (2 curves)	0	2- 17+ 89+	2-  0 -4 -2  2 -2 17+  4
Curve Equation t 48416m1 [0,0,0,-1697,26800] 2 48416m2 [0,0,0,-2587,-4350] 2
48416n (1 curve)	1	2- 17- 89+	2- -3  3 -2 -6 -1 17- -8
Curve Equation t Generators 48416n1 [0,0,0,-211,-1382] 1 [22:68:1]

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