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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 200277e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.e1 | 200277e1 | \([0, 0, 1, 14739, 68006974]\) | \(69632/392931\) | \(-1998182691999137259\) | \([]\) | \(4700160\) | \(2.1905\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277e do not have complex multiplication.Modular form 200277.2.a.e
sage: E.q_eigenform(10)