Cremona's table of elliptic curves

102312 = 2³ · 3² · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
102312a (1 curve)	1	2+ 3+ 7+ 29+	2+ 3+  2 7+ -2  1  6 -3
Curve Equation t Generators 102312a1 [0,0,0,4116,-259308] 1 [196:2842:1]
102312b (1 curve)	0	2+ 3+ 7- 29+	2+ 3+  0 7-  3 -1  0 -1
Curve Equation t 102312b1 [0,0,0,-148103235,-693737305506] 1
102312c (1 curve)	0	2+ 3+ 7- 29+	2+ 3+  0 7-  3 -1  7  6
Curve Equation t 102312c1 [0,0,0,-6615,213003] 1
102312d (1 curve)	2	2+ 3+ 7- 29+	2+ 3+ -2 7- -2 -1 -6  3
Curve Equation t Generators 102312d1 [0,0,0,84,756] 1 [-6:6:1]&[1:29:1]
102312e (1 curve)	0	2+ 3+ 7- 29+	2+ 3+ -4 7- -5  5  8  1
Curve Equation t 102312e1 [0,0,0,-11907,-1574370] 1
102312f (2 curves)	1	2+ 3+ 7- 29-	2+ 3+ -2 7-  0 -2 -6  0
Curve Equation t Generators 102312f1 [0,0,0,1029,-7546] 2 [14:98:1] 102312f2 [0,0,0,-4851,-65170] 2 [182:2254:1]
102312g (1 curve)	0	2+ 3- 7+ 29+	2+ 3-  1 7+ -5  2  3 -1
Curve Equation t 102312g1 [0,0,0,-4263147,-3374310177] 1
102312h (1 curve)	0	2+ 3- 7+ 29+	2+ 3- -3 7+  4  3  8 -2
Curve Equation t 102312h1 [0,0,0,-1806924,727032404] 1
102312i (1 curve)	1	2+ 3- 7+ 29-	2+ 3-  1 7+ -3 -6 -7 -7
Curve Equation t Generators 102312i1 [0,0,0,-4242567,3363481667] 1 [1187:29:1]
102312j (1 curve)	1	2+ 3- 7- 29+	2+ 3- -1 7- -5 -2 -3  1
Curve Equation t Generators 102312j1 [0,0,0,-87003,9837639] 1 [50:24389:8]
102312k (4 curves)	1	2+ 3- 7- 29+	2+ 3- -2 7-  4  2  6  0
Curve Equation t Generators 102312k1 [0,0,0,-11466,46305] 2 [672:17199:1] 102312k2 [0,0,0,-119511,-15836310] 4 [19173:433160:27] 102312k3 [0,0,0,-57771,-32172714] 2 [92375178:-2160621190:132651] 102312k4 [0,0,0,-1909971,-1015987266] 2 [50250270:-1169391223:27000]
102312l (1 curve)	1	2+ 3- 7- 29+	2+ 3- -2 7-  5 -1 -7 -2
Curve Equation t Generators 102312l1 [0,0,0,24549,-12932129] 1 [1031:33291:1]
102312m (1 curve)	1	2+ 3- 7- 29+	2+ 3-  3 7-  4 -3 -8  2
Curve Equation t Generators 102312m1 [0,0,0,-36876,-2119628] 1 [-82:594:1]
102312n (1 curve)	0	2+ 3- 7- 29-	2+ 3-  1 7-  2 -4  5 -5
Curve Equation t 102312n1 [0,0,0,-2610867,1624514542] 1
102312o (1 curve)	0	2+ 3- 7- 29-	2+ 3-  1 7- -3  1  0  0
Curve Equation t 102312o1 [0,0,0,-35427,-2567698] 1
102312p (1 curve)	0	2+ 3- 7- 29-	2+ 3- -1 7- -3  6  7  7
Curve Equation t 102312p1 [0,0,0,-86583,-9806069] 1
102312q (2 curves)	0	2+ 3- 7- 29-	2+ 3-  2 7-  0 -6  4 -2
Curve Equation t 102312q1 [0,0,0,-3234,-22295] 2 102312q2 [0,0,0,12201,-173558] 2
102312r (2 curves)	0	2+ 3- 7- 29-	2+ 3- -2 7-  0 -2  0 -6
Curve Equation t 102312r1 [0,0,0,33369,3025946] 2 102312r2 [0,0,0,-222411,30599030] 2
102312s (1 curve)	0	2+ 3- 7- 29-	2+ 3- -2 7-  3  7  3  6
Curve Equation t 102312s1 [0,0,0,-1911,59339] 1
102312t (1 curve)	0	2+ 3- 7- 29-	2+ 3-  4 7- -1 -1 -1  4
Curve Equation t 102312t1 [0,0,0,-16023,-917525] 1
102312u (1 curve)	1	2- 3+ 7+ 29-	2- 3+ -2 7+  2  1 -6 -3
Curve Equation t Generators 102312u1 [0,0,0,37044,7001316] 1 [0:2646:1]
102312v (2 curves)	1	2- 3+ 7- 29+	2- 3+  2 7-  0 -2  6  0
Curve Equation t Generators 102312v1 [0,0,0,9261,203742] 2 [2982:43316:27] 102312v2 [0,0,0,-43659,1759590] 2 [11327862:36868580:59319]
102312w (1 curve)	0	2- 3+ 7- 29-	2- 3+  0 7- -3 -1  0 -1
Curve Equation t 102312w1 [0,0,0,-16455915,25693974278] 1
102312x (1 curve)	0	2- 3+ 7- 29-	2- 3+  0 7- -3 -1 -7  6
Curve Equation t 102312x1 [0,0,0,-735,-7889] 1
102312y (1 curve)	0	2- 3+ 7- 29-	2- 3+  2 7-  2 -1  6  3
Curve Equation t 102312y1 [0,0,0,756,-20412] 1
102312z (1 curve)	0	2- 3+ 7- 29-	2- 3+  4 7-  5  5 -8  1
Curve Equation t 102312z1 [0,0,0,-1323,58310] 1
102312ba (1 curve)	1	2- 3- 7+ 29+	2- 3-  1 7+  0 -5  0  2
Curve Equation t Generators 102312ba1 [0,0,0,-769692,258856612] 1 [312:7006:1]
102312bb (1 curve)	0	2- 3- 7+ 29-	2- 3-  1 7+  6 -5  0 -4
Curve Equation t 102312bb1 [0,0,0,-159194532,-522053492492] 1
102312bc (1 curve)	2	2- 3- 7+ 29-	2- 3- -1 7+  2 -5 -4  2
Curve Equation t Generators 102312bc1 [0,0,0,-588,196] 1 [-24:22:1]&[-7:63:1]
102312bd (1 curve)	0	2- 3- 7+ 29-	2- 3- -3 7+  2  3  0  0
Curve Equation t 102312bd1 [0,0,0,-201684,34852916] 1
102312be (1 curve)	0	2- 3- 7+ 29-	2- 3- -3 7+  3 -2  3  7
Curve Equation t 102312be1 [0,0,0,-93639,11022991] 1
102312bf (1 curve)	0	2- 3- 7- 29+	2- 3-  0 7-  3  5 -2  3
Curve Equation t 102312bf1 [0,0,0,-18795,995974] 1
102312bg (1 curve)	0	2- 3- 7- 29+	2- 3-  0 7-  3 -5  2 -3
Curve Equation t 102312bg1 [0,0,0,-920955,-341619082] 1
102312bh (1 curve)	0	2- 3- 7- 29+	2- 3-  0 7-  5 -1 -3  4
Curve Equation t 102312bh1 [0,0,0,5145,46991] 1
102312bi (1 curve)	0	2- 3- 7- 29+	2- 3- -1 7-  0  5  0 -2
Curve Equation t 102312bi1 [0,0,0,-15708,-754684] 1
102312bj (4 curves)	0	2- 3- 7- 29+	2- 3- -2 7-  0 -6  6  4
Curve Equation t 102312bj1 [0,0,0,17934,-1837451] 2 102312bj2 [0,0,0,-160671,-21091070] 4 102312bj3 [0,0,0,-716331,213064054] 2 102312bj4 [0,0,0,-2462691,-1487477810] 2
102312bk (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7-  0 -4  2 -6
Curve Equation t Generators 102312bk1 [0,0,0,-938595,414509326] 2 [-213:24592:1] 102312bk2 [0,0,0,-15773835,24112321702] 2 [23874:481081:8]
102312bl (1 curve)	1	2- 3- 7- 29-	2- 3-  0 7-  3 -1 -1  0
Curve Equation t Generators 102312bl1 [0,0,0,-38955,2959747] 1 [113:-27:1]
102312bm (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7- -4  0  0  0
Curve Equation t Generators 102312bm1 [0,0,0,49245,8902222] 2 [434:10584:1] 102312bm2 [0,0,0,-462315,104154694] 2 [16590:194824:27]
102312bn (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7- -4  6  6  0
Curve Equation t Generators 102312bn1 [0,0,0,-483207375,-4117954178702] 2 [224986884390668923323689:125356150418767546798277478:721041726282339097] 102312bn2 [0,0,0,-7746856635,-262443829191194] 2 [124362162376313716180673644525023833695:66977795368218580761096243390358708168428:392187571239773600740289553326333]
102312bo (1 curve)	1	2- 3- 7- 29-	2- 3-  0 7-  6 -4  6  5
Curve Equation t Generators 102312bo1 [0,0,0,2940,80948] 1 [-7:245:1]
102312bp (1 curve)	1	2- 3- 7- 29-	2- 3-  1 7-  2  5  4 -2
Curve Equation t Generators 102312bp1 [0,0,0,-28812,-67228] 1 [1192:40734:1]
102312bq (1 curve)	1	2- 3- 7- 29-	2- 3- -1 7-  6  5  0  4
Curve Equation t Generators 102312bq1 [0,0,0,-3248868,1522021844] 1 [380:18502:1]
102312br (2 curves)	1	2- 3- 7- 29-	2- 3-  2 7-  0 -2 -2  0
Curve Equation t Generators 102312br1 [0,0,0,-155379,-72841538] 2 [696513376689:7296355099648:1187648379] 102312br2 [0,0,0,-3736299,-2775003770] 2 [2046030050754209246898:-254117541301328652135040:130525215996820581]
102312bs (1 curve)	1	2- 3- 7- 29-	2- 3-  2 7-  3  5  6 -5
Curve Equation t Generators 102312bs1 [0,0,0,-9204699,12491509142] 1 [-28462:115101:8]
102312bt (2 curves)	1	2- 3- 7- 29-	2- 3- -2 7-  0  2  2  0
Curve Equation t Generators 102312bt1 [0,0,0,-3171,212366] 2 [-14:504:1] 102312bt2 [0,0,0,-76251,8090390] 2 [218:1352:1]
102312bu (4 curves)	1	2- 3- 7- 29-	2- 3- -2 7- -4  2 -2  4
Curve Equation t Generators 102312bu1 [0,0,0,86289,-604366] 2 [35:1568:1] 102312bu2 [0,0,0,-345891,-4839730] 4 [3122:171304:1] 102312bu3 [0,0,0,-3679851,2707003334] 2 [-230:59508:1] 102312bu4 [0,0,0,-3926811,-2987746090] 2 [23357726:1043196280:6859]
102312bv (4 curves)	1	2- 3- 7- 29-	2- 3- -2 7- -4  6 -6  4
Curve Equation t Generators 102312bv1 [0,0,0,-90111,10410050] 4 [-119:4410:1] 102312bv2 [0,0,0,-98931,8249150] 4 [-125:4320:1] 102312bv3 [0,0,0,271509,55443206] 2 [218:11180:1] 102312bv4 [0,0,0,-610491,-177242506] 2 [-25052:84645:64]
102312bw (1 curve)	1	2- 3- 7- 29-	2- 3-  3 7-  2 -3  0  0
Curve Equation t Generators 102312bw1 [0,0,0,-4116,-101612] 1 [-996:134:27]
102312bx (1 curve)	1	2- 3- 7- 29-	2- 3-  3 7-  3  2 -3 -7
Curve Equation t Generators 102312bx1 [0,0,0,-1911,-32137] 1 [-3095:29:125]
102312by (1 curve)	1	2- 3- 7- 29-	2- 3- -3 7-  2 -4  7 -7
Curve Equation t Generators 102312by1 [0,0,0,3381,-172186] 1 [58:468:1]
102312bz (1 curve)	1	2- 3- 7- 29-	2- 3- -3 7-  3  5 -4  0
Curve Equation t Generators 102312bz1 [0,0,0,3381,-13034] 1 [315:5684:1]
102312ca (2 curves)	1	2- 3- 7- 29-	2- 3- -4 7-  4 -2 -2 -8
Curve Equation t Generators 102312ca1 [0,0,0,8673,-346430] 2 [77:-882:1] 102312ca2 [0,0,0,-53067,-3371690] 2 [-157:1044:1]

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