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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 28900g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28900.l1 | 28900g1 | \([0, -1, 0, -1310133, -576476863]\) | \(8912896/5\) | \(139515148820000000\) | \([]\) | \(616896\) | \(2.2369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28900g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28900g do not have complex multiplication.Modular form 28900.2.a.g
sage: E.q_eigenform(10)