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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 100800eg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.i1 | 100800eg1 | \([0, 0, 0, -370800, -89532000]\) | \(-30211716096/1071875\) | \(-200037600000000000\) | \([]\) | \(1290240\) | \(2.0921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800eg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800eg do not have complex multiplication.Modular form 100800.2.a.eg
sage: E.q_eigenform(10)