Cremona's table of elliptic curves

117216 = 2⁵ · 3² · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
117216a (2 curves)	1	2+ 3+ 11+ 37+	2+ 3+ -2  2 11+  0  2  0
Curve Equation t Generators 117216a1 [0,0,0,-81,136] 2 [11:24:1] 117216a2 [0,0,0,-636,-6080] 2 [48:272:1]
117216b (2 curves)	1	2+ 3+ 11+ 37+	2+ 3+  4 -2 11+  2 -2  2
Curve Equation t Generators 117216b1 [0,0,0,-6693,-185580] 2 [-58310:80197:1000] 117216b2 [0,0,0,-27228,1539360] 2 [-180:780:1]
117216c (2 curves)	1	2+ 3+ 11+ 37+	2+ 3+ -4  2 11+  2  2 -2
Curve Equation t Generators 117216c1 [0,0,0,-60237,-5010660] 2 [-25626:147439:216] 117216c2 [0,0,0,-245052,41562720] 2 [117:3807:1]
117216d (2 curves)	2	2+ 3+ 11- 37+	2+ 3+ -2 -2 11-  0  2  0
Curve Equation t Generators 117216d1 [0,0,0,-81,-136] 2 [-5:12:1]&[19:72:1] 117216d2 [0,0,0,-636,6080] 2 [-28:44:1]&[4:60:1]
117216e (1 curve)	0	2+ 3- 11+ 37+	2+ 3-  1  2 11+  6 -1 -6
Curve Equation t 117216e1 [0,0,0,-8067,287962] 1
117216f (1 curve)	0	2+ 3- 11+ 37+	2+ 3- -1  0 11+  0  7  0
Curve Equation t 117216f1 [0,0,0,3357,-229446] 1
117216g (2 curves)	0	2+ 3- 11+ 37+	2+ 3-  2  0 11+  0  4  0
Curve Equation t 117216g1 [0,0,0,-611829,-184175208] 2 117216g2 [0,0,0,-671724,-145938240] 2
117216h (2 curves)	0	2+ 3- 11+ 37+	2+ 3-  2  2 11+  2  0 -2
Curve Equation t 117216h1 [0,0,0,-12189,-536960] 2 117216h2 [0,0,0,-197004,-33655808] 2
117216i (2 curves)	0	2+ 3- 11+ 37+	2+ 3- -2  2 11+  6  8  6
Curve Equation t 117216i1 [0,0,0,121659,19061080] 2 117216i2 [0,0,0,-764076,187705024] 2
117216j (2 curves)	1	2+ 3- 11+ 37-	2+ 3-  0 -2 11+  4  2 -4
Curve Equation t Generators 117216j1 [0,0,0,-962085,-363128636] 2 [1115074:416293623:8] 117216j2 [0,0,0,-838875,-459552782] 2 [76851918066:28691408892127:551368]
117216k (1 curve)	1	2+ 3- 11+ 37-	2+ 3- -3 -4 11+  0  3  4
Curve Equation t Generators 117216k1 [0,0,0,-1299,-18794] 1 [65:414:1]
117216l (2 curves)	1	2+ 3- 11- 37+	2+ 3-  0  0 11- -4  6 -8
Curve Equation t Generators 117216l1 [0,0,0,-345,1316] 2 [-5:54:1] 117216l2 [0,0,0,1140,9632] 2 [28:252:1]
117216m (1 curve)	1	2+ 3- 11- 37+	2+ 3-  1 -2 11-  6 -1  6
Curve Equation t Generators 117216m1 [0,0,0,-8067,-287962] 1 [169:1782:1]
117216n (1 curve)	1	2+ 3- 11- 37+	2+ 3- -1  0 11-  0  7  0
Curve Equation t Generators 117216n1 [0,0,0,3357,229446] 1 [-39:198:1]
117216o (2 curves)	1	2+ 3- 11- 37+	2+ 3-  2  0 11-  0  4  0
Curve Equation t Generators 117216o1 [0,0,0,-611829,184175208] 2 [489:1386:1] 117216o2 [0,0,0,-671724,145938240] 2 [852:13860:1]
117216p (2 curves)	1	2+ 3- 11- 37+	2+ 3-  2 -2 11-  2  0  2
Curve Equation t Generators 117216p1 [0,0,0,-12189,536960] 2 [115:810:1] 117216p2 [0,0,0,-197004,33655808] 2 [94:3996:1]
117216q (2 curves)	1	2+ 3- 11- 37+	2+ 3- -2  2 11-  4  2 -4
Curve Equation t Generators 117216q1 [0,0,0,-201,-3980] 2 [464:9990:1] 117216q2 [0,0,0,-5196,-143840] 2 [-43:9:1]
117216r (2 curves)	1	2+ 3- 11- 37+	2+ 3- -2  2 11- -4  2  4
Curve Equation t Generators 117216r1 [0,0,0,-175037241,924670027060] 2 [6416:256410:1] 117216r2 [0,0,0,-2829585036,57933738472480] 2 [37148:2020788:1]
117216s (2 curves)	1	2+ 3- 11- 37+	2+ 3- -2 -2 11-  6  8 -6
Curve Equation t Generators 117216s1 [0,0,0,121659,-19061080] 2 [19659:576262:27] 117216s2 [0,0,0,-764076,-187705024] 2 [-434:7884:1]
117216t (2 curves)	0	2+ 3- 11- 37-	2+ 3-  2  2 11- -6  2  6
Curve Equation t 117216t1 [0,0,0,-669,668] 2 117216t2 [0,0,0,2661,5330] 2
117216u (1 curve)	0	2+ 3- 11- 37-	2+ 3- -3  4 11-  0  3 -4
Curve Equation t 117216u1 [0,0,0,-1299,18794] 1
117216v (2 curves)	0	2- 3+ 11+ 37+	2- 3+  2 -2 11+  0 -2  0
Curve Equation t 117216v1 [0,0,0,-729,3672] 2 117216v2 [0,0,0,-5724,-164160] 2
117216w (2 curves)	1	2- 3+ 11- 37+	2- 3+  2  2 11-  0 -2  0
Curve Equation t Generators 117216w1 [0,0,0,-729,-3672] 2 [-142:485:8] 117216w2 [0,0,0,-5724,164160] 2 [-60:540:1]
117216x (2 curves)	1	2- 3+ 11- 37+	2- 3+  4  2 11-  2 -2 -2
Curve Equation t Generators 117216x1 [0,0,0,-6693,185580] 2 [135:1320:1] 117216x2 [0,0,0,-27228,-1539360] 2 [430:8140:1]
117216y (2 curves)	1	2- 3+ 11- 37+	2- 3+ -4 -2 11-  2  2  2
Curve Equation t Generators 117216y1 [0,0,0,-60237,5010660] 2 [207:1188:1] 117216y2 [0,0,0,-245052,-41562720] 2 [-338:1628:1]
117216z (2 curves)	1	2- 3- 11+ 37+	2- 3-  0  0 11+ -4  6  8
Curve Equation t Generators 117216z1 [0,0,0,-345,-1316] 2 [-15:22:1] 117216z2 [0,0,0,1140,-9632] 2 [12:76:1]
117216ba (2 curves)	1	2- 3- 11+ 37+	2- 3- -2 -2 11+  4  2  4
Curve Equation t Generators 117216ba1 [0,0,0,-201,3980] 2 [7:54:1] 117216ba2 [0,0,0,-5196,143840] 2 [-59:495:1]
117216bb (2 curves)	1	2- 3- 11+ 37+	2- 3- -2 -2 11+ -4  2 -4
Curve Equation t Generators 117216bb1 [0,0,0,-175037241,-924670027060] 2 [584722982693069236512679363272149:146995305074031435173712995544130698:8851387890802454670362837867] 117216bb2 [0,0,0,-2829585036,-57933738472480] 2 [1260031102135740260740675482565520292964648880118533103676:217005181944888059956044908987650235581141614689159826862060:16465078878115491030081954329016851963856011028101189]
117216bc (2 curves)	1	2- 3- 11+ 37+	2- 3-  4 -4 11+  2  4 -2
Curve Equation t Generators 117216bc1 [0,0,0,-1533,-2680] 2 [-35:90:1] 117216bc2 [0,0,0,-17868,-917440] 2 [845:24235:1]
117216bd (2 curves)	2	2- 3- 11+ 37-	2- 3-  2 -2 11+ -6  2 -6
Curve Equation t Generators 117216bd1 [0,0,0,-669,-668] 2 [-19:72:1]&[-9:68:1] 117216bd2 [0,0,0,2661,-5330] 2 [5:90:1]&[18:220:1]
117216be (2 curves)	0	2- 3- 11- 37+	2- 3-  4  4 11-  2  4  2
Curve Equation t 117216be1 [0,0,0,-1533,2680] 2 117216be2 [0,0,0,-17868,917440] 2
117216bf (2 curves)	1	2- 3- 11- 37-	2- 3-  0  2 11-  4  2  4
Curve Equation t Generators 117216bf1 [0,0,0,-962085,363128636] 2 [485:3256:1] 117216bf2 [0,0,0,-838875,459552782] 2 [818:17908:1]

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