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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 66248q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.t1 | 66248q1 | \([0, 1, 0, -69008, 17113760]\) | \(-31250/91\) | \(-105832656764377088\) | \([]\) | \(387072\) | \(1.9537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66248q do not have complex multiplication.Modular form 66248.2.a.q
sage: E.q_eigenform(10)