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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 364560n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364560.n1 | 364560n1 | \([0, -1, 0, 76424, 4437616]\) | \(102437538839/77137920\) | \(-37172015718727680\) | \([]\) | \(3484800\) | \(1.8677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364560n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364560n do not have complex multiplication.Modular form 364560.2.a.n
sage: E.q_eigenform(10)