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SageMath
E = EllipticCurve("ix1")
E.isogeny_class()
Elliptic curves in class 485100ix
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.ix1 | 485100ix1 | \([0, 0, 0, 25200, -759500]\) | \(47775744/34375\) | \(-1273387500000000\) | \([]\) | \(1843200\) | \(1.5868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100ix1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100ix do not have complex multiplication.Modular form 485100.2.a.ix
sage: E.q_eigenform(10)