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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 96330.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.k1 | 96330e1 | \([1, 1, 0, 42247, -1821243]\) | \(60486959/45600\) | \(-6286347228314400\) | \([]\) | \(599040\) | \(1.7196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.k do not have complex multiplication.Modular form 96330.2.a.k
sage: E.q_eigenform(10)