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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 215600gg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 215600.bg1 | 215600gg1 | \([0, 1, 0, -75833, -7897037]\) | \(56243200/1331\) | \(1141332500000000\) | \([]\) | \(1428480\) | \(1.6745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215600gg do not have complex multiplication.Modular form 215600.2.a.gg
sage: E.q_eigenform(10)