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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 46800.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.n1 | 46800ej1 | \([0, 0, 0, 43125, 38056250]\) | \(304175/21632\) | \(-630789120000000000\) | \([]\) | \(604800\) | \(2.0950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800.n do not have complex multiplication.Modular form 46800.2.a.n
sage: E.q_eigenform(10)