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SageMath
E = EllipticCurve("fn1")
E.isogeny_class()
Elliptic curves in class 258570.fn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
258570.fn1 | 258570fn1 | \([1, -1, 1, -162845897, 217464682569]\) | \(4752182606640001/2546899200000\) | \(255960416617896548563200000\) | \([]\) | \(118609920\) | \(3.7585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570.fn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 258570.fn do not have complex multiplication.Modular form 258570.2.a.fn
sage: E.q_eigenform(10)