Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 56550.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56550.q1 | 56550s1 | \([1, 0, 1, -281, -1252]\) | \(97651532785/30437472\) | \(760936800\) | \([]\) | \(30240\) | \(0.40851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56550.q do not have complex multiplication.Modular form 56550.2.a.q
sage: E.q_eigenform(10)