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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 63426.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.q1 | 63426r1 | \([1, 0, 1, -67, -322]\) | \(-33874537/25344\) | \(-24355584\) | \([]\) | \(19200\) | \(0.11657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63426.q do not have complex multiplication.Modular form 63426.2.a.q
sage: E.q_eigenform(10)