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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 5445.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5445.k1 | 5445a1 | \([0, 0, 1, -3993, -98827]\) | \(-1216512/25\) | \(-144692244675\) | \([]\) | \(10560\) | \(0.93302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5445.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5445.k do not have complex multiplication.Modular form 5445.2.a.k
sage: E.q_eigenform(10)