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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 308550.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.k1 | 308550k1 | \([1, 1, 0, -8662150, 11925332500]\) | \(-2596717791529849/718080000000\) | \(-19876914420000000000000\) | \([]\) | \(40642560\) | \(2.9944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550.k do not have complex multiplication.Modular form 308550.2.a.k
sage: E.q_eigenform(10)