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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 138600.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.f1 | 138600es1 | \([0, 0, 0, -14580, 677700]\) | \(-544195584/77\) | \(-48498912000\) | \([]\) | \(221184\) | \(1.0666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 138600.f do not have complex multiplication.Modular form 138600.2.a.f
sage: E.q_eigenform(10)