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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 9450.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.k1 | 9450bp1 | \([1, -1, 0, -2367, -31459]\) | \(139090635/38416\) | \(405168750000\) | \([]\) | \(11520\) | \(0.93476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.k do not have complex multiplication.Modular form 9450.2.a.k
sage: E.q_eigenform(10)