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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 92416.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92416.n1 | 92416be1 | \([0, -1, 0, -22863, 1474939]\) | \(-8000\) | \(-165216101262848\) | \([]\) | \(194560\) | \(1.4625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92416.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92416.n do not have complex multiplication.Modular form 92416.2.a.n
sage: E.q_eigenform(10)