Cremona's table of elliptic curves

Conductor 30030

30030 = 2 · 3 · 5 · 7 · 11 · 13



Isogeny classes of curves of conductor 30030 [newforms of level 30030]

Class r Atkin-Lehner Eigenvalues
30030a (4 curves) 1 2+ 3+ 5+ 7+ 11+ 13+ 2+ 3+ 5+ 7+ 11+ 13+  6  0
30030b (4 curves) 1 2+ 3+ 5+ 7- 11+ 13- 2+ 3+ 5+ 7- 11+ 13-  2  0
30030c (4 curves) 1 2+ 3+ 5+ 7- 11+ 13- 2+ 3+ 5+ 7- 11+ 13- -2 -4
30030d (2 curves) 1 2+ 3+ 5- 7+ 11+ 13- 2+ 3+ 5- 7+ 11+ 13-  4  4
30030e (4 curves) 1 2+ 3+ 5- 7- 11+ 13+ 2+ 3+ 5- 7- 11+ 13+  2 -4
30030f (4 curves) 1 2+ 3+ 5- 7- 11+ 13+ 2+ 3+ 5- 7- 11+ 13+ -2  4
30030g (2 curves) 1 2+ 3+ 5- 7- 11+ 13+ 2+ 3+ 5- 7- 11+ 13+ -4 -4
30030h (4 curves) 0 2+ 3+ 5- 7- 11- 13+ 2+ 3+ 5- 7- 11- 13+ -2 -4
30030i (2 curves) 0 2+ 3+ 5- 7- 11- 13+ 2+ 3+ 5- 7- 11- 13+  4  4
30030j (2 curves) 1 2+ 3- 5+ 7+ 11+ 13- 2+ 3- 5+ 7+ 11+ 13-  0 -4
30030k (4 curves) 1 2+ 3- 5+ 7+ 11- 13+ 2+ 3- 5+ 7+ 11- 13+ -2  0
30030l (2 curves) 0 2+ 3- 5+ 7+ 11- 13- 2+ 3- 5+ 7+ 11- 13-  0  4
30030m (2 curves) 1 2+ 3- 5+ 7- 11+ 13+ 2+ 3- 5+ 7- 11+ 13+ -4  4
30030n (2 curves) 1 2+ 3- 5+ 7- 11+ 13+ 2+ 3- 5+ 7- 11+ 13+ -6  2
30030o (4 curves) 0 2+ 3- 5+ 7- 11+ 13- 2+ 3- 5+ 7- 11+ 13-  0 -4
30030p (4 curves) 1 2+ 3- 5+ 7- 11- 13- 2+ 3- 5+ 7- 11- 13-  0  2
30030q (4 curves) 1 2+ 3- 5+ 7- 11- 13- 2+ 3- 5+ 7- 11- 13- -6  2
30030r (8 curves) 1 2+ 3- 5+ 7- 11- 13- 2+ 3- 5+ 7- 11- 13- -6 -4
30030s (2 curves) 0 2+ 3- 5- 7+ 11+ 13- 2+ 3- 5- 7+ 11+ 13- -4 -4
30030t (4 curves) 1 2+ 3- 5- 7+ 11- 13- 2+ 3- 5- 7+ 11- 13-  6 -8
30030u (2 curves) 0 2+ 3- 5- 7- 11+ 13+ 2+ 3- 5- 7- 11+ 13+  4  4
30030v (4 curves) 1 2+ 3- 5- 7- 11+ 13- 2+ 3- 5- 7- 11+ 13- -6  2
30030w (4 curves) 1 2+ 3- 5- 7- 11- 13+ 2+ 3- 5- 7- 11- 13+  2 -4
30030x (4 curves) 1 2+ 3- 5- 7- 11- 13+ 2+ 3- 5- 7- 11- 13+ -2  0
30030y (4 curves) 1 2+ 3- 5- 7- 11- 13+ 2+ 3- 5- 7- 11- 13+ -2  4
30030z (4 curves) 1 2- 3+ 5+ 7+ 11+ 13- 2- 3+ 5+ 7+ 11+ 13-  6  4
30030ba (2 curves) 1 2- 3+ 5+ 7+ 11- 13+ 2- 3+ 5+ 7+ 11- 13+ -2 -2
30030bb (4 curves) 1 2- 3+ 5+ 7+ 11- 13+ 2- 3+ 5+ 7+ 11- 13+ -2  4
30030bc (4 curves) 0 2- 3+ 5+ 7+ 11- 13- 2- 3+ 5+ 7+ 11- 13-  2 -4
30030bd (2 curves) 1 2- 3+ 5- 7+ 11+ 13+ 2- 3+ 5- 7+ 11+ 13+ -2  6
30030be (2 curves) 0 2- 3+ 5- 7+ 11+ 13- 2- 3+ 5- 7+ 11+ 13-  0  4
30030bf (4 curves) 0 2- 3+ 5- 7+ 11+ 13- 2- 3+ 5- 7+ 11+ 13-  6  4
30030bg (6 curves) 1 2- 3+ 5- 7- 11+ 13- 2- 3+ 5- 7- 11+ 13-  2  4
30030bh (8 curves) 1 2- 3+ 5- 7- 11+ 13- 2- 3+ 5- 7- 11+ 13-  2 -4
30030bi (4 curves) 1 2- 3+ 5- 7- 11+ 13- 2- 3+ 5- 7- 11+ 13- -2 -4
30030bj (6 curves) 0 2- 3+ 5- 7- 11- 13- 2- 3+ 5- 7- 11- 13-  2  4
30030bk (2 curves) 0 2- 3+ 5- 7- 11- 13- 2- 3+ 5- 7- 11- 13- -4  4
30030bl (4 curves) 1 2- 3- 5+ 7+ 11+ 13+ 2- 3- 5+ 7+ 11+ 13+ -2  0
30030bm (2 curves) 0 2- 3- 5+ 7+ 11+ 13- 2- 3- 5+ 7+ 11+ 13- -4  6
30030bn (2 curves) 1 2- 3- 5+ 7+ 11- 13- 2- 3- 5+ 7+ 11- 13-  0 -4
30030bo (4 curves) 1 2- 3- 5+ 7+ 11- 13- 2- 3- 5+ 7+ 11- 13-  6 -8
30030bp (4 curves) 0 2- 3- 5+ 7- 11+ 13+ 2- 3- 5+ 7- 11+ 13+  2  4
30030bq (2 curves) 0 2- 3- 5+ 7- 11+ 13+ 2- 3- 5+ 7- 11+ 13+ -4  4
30030br (4 curves) 0 2- 3- 5+ 7- 11+ 13+ 2- 3- 5+ 7- 11+ 13+  6 -4
30030bs (4 curves) 0 2- 3- 5+ 7- 11+ 13+ 2- 3- 5+ 7- 11+ 13+ -6 -4
30030bt (8 curves) 1 2- 3- 5+ 7- 11+ 13- 2- 3- 5+ 7- 11+ 13- -6 -4
30030bu (2 curves) 1 2- 3- 5+ 7- 11- 13+ 2- 3- 5+ 7- 11- 13+  0 -6
30030bv (4 curves) 1 2- 3- 5+ 7- 11- 13+ 2- 3- 5+ 7- 11- 13+ -6  0
30030bw (4 curves) 1 2- 3- 5+ 7- 11- 13+ 2- 3- 5+ 7- 11- 13+ -6  4
30030bx (2 curves) 1 2- 3- 5+ 7- 11- 13+ 2- 3- 5+ 7- 11- 13+  8  4
30030by (6 curves) 1 2- 3- 5- 7+ 11+ 13- 2- 3- 5- 7+ 11+ 13-  2 -4
30030bz (6 curves) 1 2- 3- 5- 7+ 11+ 13- 2- 3- 5- 7+ 11+ 13-  2 -4
30030ca (2 curves) 1 2- 3- 5- 7+ 11+ 13- 2- 3- 5- 7+ 11+ 13-  4 -2
30030cb (2 curves) 1 2- 3- 5- 7+ 11- 13+ 2- 3- 5- 7+ 11- 13+ -4  6
30030cc (6 curves) 0 2- 3- 5- 7+ 11- 13- 2- 3- 5- 7+ 11- 13-  2  4
30030cd (4 curves) 0 2- 3- 5- 7- 11+ 13- 2- 3- 5- 7- 11+ 13-  0 -4


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

Part of Computational Number Theory
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