Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 6672.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6672.p1 | 6672o1 | \([0, 1, 0, 408, -3852]\) | \(1829276567/2735937\) | \(-11206397952\) | \([]\) | \(4608\) | \(0.61371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6672.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6672.p do not have complex multiplication.Modular form 6672.2.a.p
sage: E.q_eigenform(10)