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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 455175n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.n1 | 455175n1 | \([0, 0, 1, -2926125, -1098516094]\) | \(14929920/5831\) | \(1082151079111733203125\) | \([]\) | \(24883200\) | \(2.7348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175n do not have complex multiplication.Modular form 455175.2.a.n
sage: E.q_eigenform(10)