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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 58800.gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.gb1 | 58800dh1 | \([0, 1, 0, 992, -4012]\) | \(68782/45\) | \(-70560000000\) | \([]\) | \(46080\) | \(0.77049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.gb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.gb do not have complex multiplication.Modular form 58800.2.a.gb
sage: E.q_eigenform(10)