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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 5265.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.k1 | 5265f1 | \([1, -1, 0, 0, -39]\) | \(-9/8125\) | \(-658125\) | \([]\) | \(576\) | \(-0.20469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5265.k do not have complex multiplication.Modular form 5265.2.a.k
sage: E.q_eigenform(10)