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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 401136.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
401136.f1 | 401136f1 | \([0, 1, 0, -389, 1395]\) | \(1593413632/676917\) | \(2772652032\) | \([]\) | \(358400\) | \(0.50860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 401136.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 401136.f do not have complex multiplication.Modular form 401136.2.a.f
sage: E.q_eigenform(10)