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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 248256.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.q1 | 248256q1 | \([0, 0, 0, -216, -486]\) | \(884736/431\) | \(542935872\) | \([]\) | \(110592\) | \(0.36947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256.q do not have complex multiplication.Modular form 248256.2.a.q
sage: E.q_eigenform(10)