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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 6534.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.k1 | 6534k1 | \([1, -1, 0, -19806, 1135844]\) | \(-2738019/176\) | \(-55233502098192\) | \([]\) | \(17280\) | \(1.3900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6534.k do not have complex multiplication.Modular form 6534.2.a.k
sage: E.q_eigenform(10)