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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 63426a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.c1 | 63426a1 | \([1, 1, 0, 25447, -29126271]\) | \(2136551/431244\) | \(-367804142550206604\) | \([]\) | \(892800\) | \(2.0498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426a do not have complex multiplication.Modular form 63426.2.a.a
sage: E.q_eigenform(10)