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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 63426.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.x1 | 63426y1 | \([1, 1, 1, -5858276, 5941101845]\) | \(-26069917217089/2806152624\) | \(-2393342422701144395184\) | \([]\) | \(3333120\) | \(2.8405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.x do not have complex multiplication.Modular form 63426.2.a.x
sage: E.q_eigenform(10)