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SageMath
E = EllipticCurve("ji1")
E.isogeny_class()
Elliptic curves in class 381150.ji
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.ji1 | 381150ji1 | \([1, -1, 1, -50839625, 154922961097]\) | \(-12524640009705/1686616064\) | \(-1956958878660484069324800\) | \([]\) | \(70253568\) | \(3.3935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.ji1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.ji do not have complex multiplication.Modular form 381150.2.a.ji
sage: E.q_eigenform(10)