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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 2064.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2064.k1 | 2064m1 | \([0, 1, 0, -309, -2205]\) | \(-799178752/3483\) | \(-14266368\) | \([]\) | \(576\) | \(0.22603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2064.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2064.k do not have complex multiplication.Modular form 2064.2.a.k
sage: E.q_eigenform(10)