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SageMath
E = EllipticCurve("nr1")
E.isogeny_class()
Elliptic curves in class 352800nr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.nr1 | 352800nr1 | \([0, 0, 0, 29400, 3155600]\) | \(12800/27\) | \(-5928154283520000\) | \([]\) | \(1741824\) | \(1.7108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800nr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800nr do not have complex multiplication.Modular form 352800.2.a.nr
sage: E.q_eigenform(10)