Cremona's table of elliptic curves

30016 = 2⁶ · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
30016a (2 curves)	1	2+ 7+ 67+	2+  0  0 7+  4 -4  2  6
Curve Equation t Generators 30016a1 [0,0,0,100,7632] 2 [-16:44:1] 30016a2 [0,0,0,-5260,142704] 2 [520:11748:1]
30016b (1 curve)	1	2+ 7+ 67+	2+  1 -3 7+ -2  3  0  8
Curve Equation t Generators 30016b1 [0,1,0,-217,1159] 1 [9:4:1]
30016c (1 curve)	1	2+ 7+ 67+	2+ -2  0 7+  2  6  3 -1
Curve Equation t Generators 30016c1 [0,1,0,-63,-269] 1 [74:637:1]
30016d (2 curves)	1	2+ 7+ 67+	2+ -2 -2 7+  4 -2  6  4
Curve Equation t Generators 30016d1 [0,1,0,-169,-1065] 2 [23:88:1] 30016d2 [0,1,0,-2849,-59489] 2 [90:649:1]
30016e (1 curve)	1	2+ 7+ 67+	2+  3  1 7+  4 -5  0  4
Curve Equation t Generators 30016e1 [0,0,0,-5032,-83032] 1 [-155910:760996:3375]
30016f (1 curve)	1	2+ 7+ 67+	2+  3 -3 7+  4 -1 -4  0
Curve Equation t Generators 30016f1 [0,0,0,-38344,-2889976] 1 [-7181464542:5865292:63521199]
30016g (1 curve)	1	2+ 7+ 67+	2+ -3  3 7+ -2  5  2 -6
Curve Equation t Generators 30016g1 [0,0,0,-556,-4688] 1 [-12:16:1]
30016h (1 curve)	1	2+ 7+ 67+	2+ -3 -3 7+  4 -1  2  0
Curve Equation t Generators 30016h1 [0,0,0,-14584,677896] 1 [70:4:1]
30016i (1 curve)	0	2+ 7+ 67-	2+  1 -1 7+  6  1 -4  4
Curve Equation t 30016i1 [0,1,0,-281,-1849] 1
30016j (1 curve)	0	2+ 7+ 67-	2+  1  3 7+  4  1 -2  4
Curve Equation t 30016j1 [0,1,0,-49,-17] 1
30016k (1 curve)	0	2+ 7+ 67-	2+ -1  3 7+  0  1 -8 -8
Curve Equation t 30016k1 [0,-1,0,-5089,-135583] 1
30016l (1 curve)	0	2+ 7+ 67-	2+  3 -1 7+  0 -3  0  4
Curve Equation t 30016l1 [0,0,0,-748,7856] 1
30016m (1 curve)	0	2+ 7- 67+	2+  0  2 7-  0 -4  1  1
Curve Equation t 30016m1 [0,0,0,16,-352] 1
30016n (1 curve)	0	2+ 7- 67+	2+  1  3 7-  0  1  4  0
Curve Equation t 30016n1 [0,1,0,-29,-61] 1
30016o (1 curve)	0	2+ 7- 67+	2+ -1  1 7-  2 -1  6 -6
Curve Equation t 30016o1 [0,-1,0,-1825,-29407] 1
30016p (1 curve)	0	2+ 7- 67+	2+ -1  1 7- -2  7 -2  2
Curve Equation t 30016p1 [0,-1,0,-225,-671] 1
30016q (1 curve)	2	2+ 7- 67+	2+ -1 -1 7-  0 -3 -6  0
Curve Equation t Generators 30016q1 [0,-1,0,-301,1277] 1 [-11:56:1]&[-4:49:1]
30016r (1 curve)	2	2+ 7- 67+	2+ -1 -1 7- -6  1 -4 -4
Curve Equation t Generators 30016r1 [0,-1,0,-281,1849] 1 [-13:56:1]&[0:43:1]
30016s (2 curves)	2	2+ 7- 67+	2+ -1 -3 7-  0 -5  0 -2
Curve Equation t Generators 30016s1 [0,-1,0,-117,469] 1 [-12:1:1]&[-3:28:1] 30016s2 [0,-1,0,-2357,-43211] 1 [-28:7:1]&[-27:4:1]
30016t (3 curves)	0	2+ 7- 67+	2+ -1 -3 7-  6 -5  6 -2
Curve Equation t 30016t1 [0,-1,0,-11457,388801] 1 30016t2 [0,-1,0,-277697,-56197439] 1 30016t3 [0,-1,0,-22489537,-41043045439] 1
30016u (2 curves)	0	2+ 7- 67+	2+  2 -2 7-  4 -2 -2  8
Curve Equation t 30016u1 [0,-1,0,-23329,6990753] 2 30016u2 [0,-1,0,-709409,229417889] 2
30016v (2 curves)	0	2+ 7- 67+	2+ -2  0 7-  0  4 -2  6
Curve Equation t 30016v1 [0,1,0,-47873,4018399] 2 30016v2 [0,1,0,-766113,257844415] 2
30016w (1 curve)	0	2+ 7- 67+	2+  3 -1 7-  0  5 -2 -8
Curve Equation t 30016w1 [0,0,0,-5368,22664] 1
30016x (1 curve)	1	2+ 7- 67-	2+  1  1 7-  4  3  0 -4
Curve Equation t Generators 30016x1 [0,1,0,-3585,-58273] 1 [-23:112:1]
30016y (1 curve)	1	2+ 7- 67-	2+ -1  1 7-  0 -5 -6  4
Curve Equation t Generators 30016y1 [0,-1,0,-52785,4685233] 1 [123:-196:1]
30016z (1 curve)	1	2+ 7- 67-	2+ -1 -1 7-  4  1 -4  6
Curve Equation t Generators 30016z1 [0,-1,0,-21,-11] 1 [-3:4:1]
30016ba (1 curve)	1	2+ 7- 67-	2+ -1 -3 7-  2  3  0 -8
Curve Equation t Generators 30016ba1 [0,-1,0,-217,-1159] 1 [-8:1:1]
30016bb (1 curve)	1	2+ 7- 67-	2+  2  0 7- -2  6  3  1
Curve Equation t Generators 30016bb1 [0,-1,0,-63,269] 1 [-4:21:1]
30016bc (2 curves)	1	2+ 7- 67-	2+  2 -2 7- -4 -2  6 -4
Curve Equation t Generators 30016bc1 [0,-1,0,-169,1065] 2 [3:24:1] 30016bc2 [0,-1,0,-2849,59489] 2 [122:1113:8]
30016bd (1 curve)	0	2- 7+ 67+	2-  1  1 7+  0 -5 -6 -4
Curve Equation t 30016bd1 [0,1,0,-52785,-4685233] 1
30016be (1 curve)	2	2- 7+ 67+	2-  1 -1 7+ -4  1 -4 -6
Curve Equation t Generators 30016be1 [0,1,0,-21,11] 1 [-5:4:1]&[-2:7:1]
30016bf (1 curve)	0	2- 7+ 67+	2- -1  1 7+ -4  3  0  4
Curve Equation t 30016bf1 [0,-1,0,-3585,58273] 1
30016bg (1 curve)	0	2- 7+ 67+	2- -1 -3 7+  2 -1 -2  4
Curve Equation t 30016bg1 [0,-1,0,-5577,-6359] 1
30016bh (1 curve)	0	2- 7+ 67+	2-  3  1 7+  2 -5 -6  8
Curve Equation t 30016bh1 [0,0,0,-52,128] 1
30016bi (1 curve)	1	2- 7+ 67-	2-  0  2 7+  0 -4  1 -1
Curve Equation t Generators 30016bi1 [0,0,0,16,352] 1 [9:35:1]
30016bj (1 curve)	1	2- 7+ 67-	2-  1  1 7+  2  7 -2 -2
Curve Equation t Generators 30016bj1 [0,1,0,-225,671] 1 [-11:44:1]
30016bk (1 curve)	1	2- 7+ 67-	2-  1  1 7+ -2 -1  6  6
Curve Equation t Generators 30016bk1 [0,1,0,-1825,29407] 1 [21:28:1]
30016bl (1 curve)	1	2- 7+ 67-	2-  1 -1 7+  0 -3 -6  0
Curve Equation t Generators 30016bl1 [0,1,0,-301,-1277] 1 [-9:28:1]
30016bm (2 curves)	1	2- 7+ 67-	2-  1 -3 7+  0 -5  0  2
Curve Equation t Generators 30016bm1 [0,1,0,-117,-469] 1 [-5:4:1] 30016bm2 [0,1,0,-2357,43211] 1 [-13:268:1]
30016bn (3 curves)	1	2- 7+ 67-	2-  1 -3 7+ -6 -5  6  2
Curve Equation t Generators 30016bn1 [0,1,0,-11457,-388801] 1 [-59:292:1] 30016bn2 [0,1,0,-277697,56197439] 1 [293:268:1] 30016bn3 [0,1,0,-22489537,41043045439] 1 [1995741:44:729]
30016bo (1 curve)	1	2- 7+ 67-	2- -1  3 7+  0  1  4  0
Curve Equation t Generators 30016bo1 [0,-1,0,-29,61] 1 [5:4:1]
30016bp (1 curve)	1	2- 7+ 67-	2- -1  3 7+ -2  1 -2  0
Curve Equation t Generators 30016bp1 [0,-1,0,-1449,-20279] 1 [75:536:1]
30016bq (2 curves)	1	2- 7+ 67-	2-  2  0 7+  0  4 -2 -6
Curve Equation t Generators 30016bq1 [0,-1,0,-47873,-4018399] 2 [211306320:3346323911:531441] 30016bq2 [0,-1,0,-766113,-257844415] 2 [1245688971838416:-33096581864784719:895562584119]
30016br (2 curves)	1	2- 7+ 67-	2- -2 -2 7+ -4 -2 -2 -8
Curve Equation t Generators 30016br1 [0,1,0,-23329,-6990753] 2 [298:3551:1] 30016br2 [0,1,0,-709409,-229417889] 2 [2346:104993:1]
30016bs (1 curve)	1	2- 7+ 67-	2- -3 -1 7+  0  5 -2  8
Curve Equation t Generators 30016bs1 [0,0,0,-5368,-22664] 1 [-62:268:1]
30016bt (1 curve)	1	2- 7- 67+	2-  1  3 7-  0  1 -8  8
Curve Equation t Generators 30016bt1 [0,1,0,-5089,135583] 1 [21:196:1]
30016bu (1 curve)	1	2- 7- 67+	2-  1  3 7-  2  1 -2  0
Curve Equation t Generators 30016bu1 [0,1,0,-1449,20279] 1 [10:83:1]
30016bv (1 curve)	1	2- 7- 67+	2- -1  3 7- -4  1 -2 -4
Curve Equation t Generators 30016bv1 [0,-1,0,-49,17] 1 [-1:8:1]
30016bw (1 curve)	1	2- 7- 67+	2- -3 -1 7-  0 -3  0 -4
Curve Equation t Generators 30016bw1 [0,0,0,-748,-7856] 1 [-16:4:1]
30016bx (2 curves)	2	2- 7- 67-	2-  0  0 7- -4 -4  2 -6
Curve Equation t Generators 30016bx1 [0,0,0,100,-7632] 2 [26:112:1]&[68:560:1] 30016bx2 [0,0,0,-5260,-142704] 2 [-43:63:1]&[-38:48:1]
30016by (1 curve)	2	2- 7- 67-	2-  1 -3 7- -2 -1 -2 -4
Curve Equation t Generators 30016by1 [0,1,0,-5577,6359] 1 [-62:343:1]&[1:28:1]
30016bz (1 curve)	0	2- 7- 67-	2-  3  3 7-  2  5  2  6
Curve Equation t 30016bz1 [0,0,0,-556,4688] 1
30016ca (1 curve)	0	2- 7- 67-	2-  3 -3 7- -4 -1  2  0
Curve Equation t 30016ca1 [0,0,0,-14584,-677896] 1
30016cb (1 curve)	2	2- 7- 67-	2- -3  1 7- -2 -5 -6 -8
Curve Equation t Generators 30016cb1 [0,0,0,-52,-128] 1 [-4:4:1]&[-3:1:1]
30016cc (1 curve)	2	2- 7- 67-	2- -3  1 7- -4 -5  0 -4
Curve Equation t Generators 30016cc1 [0,0,0,-5032,83032] 1 [-39:469:1]&[-58:424:1]
30016cd (1 curve)	2	2- 7- 67-	2- -3 -3 7- -4 -1 -4  0
Curve Equation t Generators 30016cd1 [0,0,0,-38344,2889976] 1 [-226:112:1]&[113:-1:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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