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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 380880k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380880.k1 | 380880k1 | \([0, 0, 0, -4672128, -3887551172]\) | \(-33554432/5\) | \(-1680691571464354560\) | \([]\) | \(9538560\) | \(2.5107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380880k do not have complex multiplication.Modular form 380880.2.a.k
sage: E.q_eigenform(10)