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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 405600n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.n1 | 405600n1 | \([0, -1, 0, -73233, 7302177]\) | \(520000/27\) | \(2255332297420800\) | \([]\) | \(2156544\) | \(1.7035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 405600n do not have complex multiplication.Modular form 405600.2.a.n
sage: E.q_eigenform(10)