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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 1960.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1960.k1 | 1960f1 | \([0, 1, 0, -65, -1597]\) | \(-1024/35\) | \(-1054135040\) | \([]\) | \(768\) | \(0.41162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1960.k do not have complex multiplication.Modular form 1960.2.a.k
sage: E.q_eigenform(10)