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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 126852.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126852.f1 | 126852f1 | \([0, -1, 0, 5446, 11584677]\) | \(1257728/4084839\) | \(-58004954380677744\) | \([]\) | \(921600\) | \(1.8955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126852.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126852.f do not have complex multiplication.Modular form 126852.2.a.f
sage: E.q_eigenform(10)