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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 146523f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.a1 | 146523f1 | \([0, -1, 1, -1252, 28212]\) | \(-53248/51\) | \(-208041707211\) | \([]\) | \(262656\) | \(0.86795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 146523f do not have complex multiplication.Modular form 146523.2.a.f
sage: E.q_eigenform(10)