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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 2448k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2448.m1 | 2448k1 | \([0, 0, 0, -432, 3888]\) | \(-110592/17\) | \(-1370566656\) | \([]\) | \(960\) | \(0.48223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2448k do not have complex multiplication.Modular form 2448.2.a.k
sage: E.q_eigenform(10)