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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 382200et
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382200.et1 | 382200et1 | \([0, -1, 0, -7883283, -8518132188]\) | \(-767228471296/142155\) | \(-10038817255398750000\) | \([]\) | \(13321728\) | \(2.6485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200et1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200et do not have complex multiplication.Modular form 382200.2.a.et
sage: E.q_eigenform(10)