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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 146523.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.f1 | 146523b1 | \([0, 1, 1, -361924, -85062272]\) | \(-15388672/243\) | \(-82790821509739083\) | \([]\) | \(2221560\) | \(2.0476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.f do not have complex multiplication.Modular form 146523.2.a.f
sage: E.q_eigenform(10)