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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 270480k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.k1 | 270480k1 | \([0, -1, 0, -401, 5181]\) | \(-569906176/547515\) | \(-6868028160\) | \([]\) | \(154368\) | \(0.58368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480k do not have complex multiplication.Modular form 270480.2.a.k
sage: E.q_eigenform(10)