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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 61200gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 61200.p1 | 61200gb1 | \([0, 0, 0, -50659275, -168294093190]\) | \(-192607474931043120625/52443022624653312\) | \(-3914850661721319879475200\) | \([]\) | \(11128320\) | \(3.4350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200gb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200gb do not have complex multiplication.Modular form 61200.2.a.gb
sage: E.q_eigenform(10)