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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 380926x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 380926.x1 | 380926x1 | \([1, 0, 1, -116107, 15800488]\) | \(-304821217/13754\) | \(-7810473692571914\) | \([]\) | \(2661120\) | \(1.8138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926x do not have complex multiplication.Modular form 380926.2.a.x
sage: E.q_eigenform(10)