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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 2400.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2400.k1 | 2400g1 | \([0, -1, 0, -4333, -815963]\) | \(-5624320/177147\) | \(-283435200000000\) | \([]\) | \(10560\) | \(1.4535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2400.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2400.k do not have complex multiplication.Modular form 2400.2.a.k
sage: E.q_eigenform(10)