Cremona's table of elliptic curves

30723 = 3 · 7² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
30723a (1 curve)	1	3+ 7+ 11+ 19+	2 3+  1 7+ 11+  0 -1 19+
Curve Equation t Generators 30723a1 [0,-1,1,-35014240,79759318449] 1 [2557448:87885311:512]
30723b (1 curve)	0	3+ 7+ 11+ 19-	0 3+  3 7+ 11+  6  3 19-
Curve Equation t 30723b1 [0,-1,1,1601,-43863] 1
30723c (2 curves)	0	3+ 7- 11+ 19+	0 3+  0 7- 11+ -5  3 19+
Curve Equation t 30723c1 [0,-1,1,3757,137780] 1 30723c2 [0,-1,1,-135893,19389929] 1
30723d (4 curves)	0	3+ 7- 11+ 19+	1 3+  2 7- 11+  2 -6 19+
Curve Equation t 30723d1 [1,1,0,171,51192] 2 30723d2 [1,1,0,-19674,1031535] 4 30723d3 [1,1,0,-43929,-2048850] 2 30723d4 [1,1,0,-312939,67250772] 2
30723e (1 curve)	1	3+ 7- 11+ 19-	0 3+  1 7- 11+  4 -2 19-
Curve Equation t Generators 30723e1 [0,-1,1,-48698715,72129768500] 1 [-4324:449264:1]
30723f (1 curve)	1	3+ 7- 11+ 19-	0 3+ -4 7- 11+ -1  3 19-
Curve Equation t Generators 30723f1 [0,-1,1,-65,482] 1 [-2:24:1]
30723g (2 curves)	1	3+ 7- 11+ 19-	1 3+  2 7- 11+ -6 -4 19-
Curve Equation t Generators 30723g1 [1,1,0,-39,120] 2 [8:16:1] 30723g2 [1,1,0,-704,6903] 2 [14:-1:1]
30723h (1 curve)	1	3+ 7- 11+ 19-	1 3+ -3 7- 11+  4 -4 19-
Curve Equation t Generators 30723h1 [1,1,0,-22463634,-40989016179] 1 [841886455628:-85489132277553:68417929]
30723i (4 curves)	1	3+ 7- 11+ 19-	-1 3+ -2 7- 11+ -2 -2 19-
Curve Equation t Generators 30723i1 [1,1,1,-3774,284346] 4 [-36:630:1] 30723i2 [1,1,1,-92219,10720856] 4 [-162:4711:1] 30723i3 [1,1,1,-124804,2431232] 2 [-181:4464:1] 30723i4 [1,1,1,-1474754,688716020] 2 [701:-338:1]
30723j (1 curve)	1	3+ 7- 11+ 19-	2 3+  1 7- 11+  4  4 19-
Curve Equation t Generators 30723j1 [0,-1,1,-56660,-5172301] 1 [359410:4555961:1000]
30723k (2 curves)	1	3+ 7- 11- 19+	0 3+  0 7- 11-  1 -3 19+
Curve Equation t Generators 30723k1 [0,-1,1,-17803,991605] 1 [75:-270:1] 30723k2 [0,-1,1,-1473103,688664514] 1 [44868:17:64]
30723l (1 curve)	1	3+ 7- 11- 19+	-1 3+  1 7- 11-  0  4 19+
Curve Equation t Generators 30723l1 [1,1,1,-18915,-2491602] 1 [216:1778:1]
30723m (1 curve)	1	3+ 7- 11- 19+	2 3+ -3 7- 11-  6  2 19+
Curve Equation t Generators 30723m1 [0,-1,1,-142,-603] 1 [-54:9:8]
30723n (1 curve)	0	3+ 7- 11- 19-	0 3+ -1 7- 11- -4  6 19-
Curve Equation t 30723n1 [0,-1,1,-41911,2743110] 1
30723o (1 curve)	0	3+ 7- 11- 19-	0 3+  3 7- 11-  6  4 19-
Curve Equation t 30723o1 [0,-1,1,-63569,5756267] 1
30723p (1 curve)	0	3+ 7- 11- 19-	0 3+  4 7- 11-  1  1 19-
Curve Equation t 30723p1 [0,-1,1,184469,-29448126] 1
30723q (4 curves)	0	3+ 7- 11- 19-	1 3+ -2 7- 11- -2  2 19-
Curve Equation t 30723q1 [1,1,0,-5133461,4474618296] 2 30723q2 [1,1,0,-5145466,4452622735] 4 30723q3 [1,1,0,-1394761,10810067710] 4 30723q4 [1,1,0,-9088251,-3312298044] 2
30723r (1 curve)	0	3+ 7- 11- 19-	-2 3+  1 7- 11- -2  5 19-
Curve Equation t 30723r1 [0,-1,1,-800,-348790] 1
30723s (1 curve)	2	3+ 7- 11- 19-	-2 3+ -1 7- 11- -4  1 19-
Curve Equation t Generators 30723s1 [0,-1,1,124,20] 1 [2:-17:1]&[20:100:1]
30723t (2 curves)	2	3+ 7- 11- 19-	-2 3+ -1 7- 11- -4 -8 19-
Curve Equation t Generators 30723t1 [0,-1,1,-91646,-10637320] 1 [-4821:-1214:27]&[-170:24:1] 30723t2 [0,-1,1,-2571536,1587358520] 1 [1090:8844:1]&[-905:56325:1]
30723u (1 curve)	1	3- 7+ 11- 19+	-2 3-  1 7+ 11-  4 -1 19+
Curve Equation t Generators 30723u1 [0,1,1,6060,-19078] 1 [65:808:1]
30723v (1 curve)	1	3- 7+ 11- 19+	-2 3- -1 7+ 11-  2 -5 19+
Curve Equation t Generators 30723v1 [0,1,1,-16,1012] 1 [23:115:1]
30723w (1 curve)	1	3- 7- 11+ 19+	0 3- -1 7- 11+  0  6 19+
Curve Equation t Generators 30723w1 [0,1,1,-261,-1291] 1 [23:73:1]
30723x (1 curve)	1	3- 7- 11+ 19+	0 3- -3 7- 11+ -6 -3 19+
Curve Equation t Generators 30723x1 [0,1,1,33,137] 1 [3:-17:1]
30723y (2 curves)	1	3- 7- 11+ 19+	1 3- -2 7- 11+  6  4 19+
Curve Equation t Generators 30723y1 [1,0,1,-1937,-46945] 2 [576685943497:-7399863904083:3491055413] 30723y2 [1,0,1,-34522,-2471269] 2 [-5428529:1700756:50653]
30723z (1 curve)	1	3- 7- 11+ 19+	1 3-  3 7- 11+ -4  4 19+
Curve Equation t Generators 30723z1 [1,0,1,-458442,119436013] 1 [389:-258:1]
30723ba (1 curve)	0	3- 7- 11+ 19-	2 3- -1 7- 11+  0  1 19-
Curve Equation t 30723ba1 [0,1,1,-714576,-232738621] 1
30723bb (1 curve)	2	3- 7- 11+ 19-	-2 3- -3 7- 11+ -4  0 19-
Curve Equation t Generators 30723bb1 [0,1,1,-21282,1048142] 1 [-159:661:1]&[-117:1396:1]
30723bc (1 curve)	2	3- 7- 11- 19+	0 3- -3 7- 11- -6 -4 19+
Curve Equation t Generators 30723bc1 [0,1,1,-1297,-17153] 1 [-25:16:1]&[-19:31:1]
30723bd (1 curve)	1	3- 7- 11- 19-	-1 3- -1 7- 11-  0 -4 19-
Curve Equation t Generators 30723bd1 [1,0,0,-386,7209] 1 [25:-128:1]
30723be (1 curve)	1	3- 7- 11- 19-	2 3-  3 7- 11- -6 -2 19-
Curve Equation t Generators 30723be1 [0,1,1,-6974,220679] 1 [618:3083:8]

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