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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 63426.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.k1 | 63426q1 | \([1, 0, 1, 3343, -669364]\) | \(4657463/220968\) | \(-196109913383208\) | \([]\) | \(276480\) | \(1.4222\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63426.k do not have complex multiplication.Modular form 63426.2.a.k
sage: E.q_eigenform(10)