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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 43120.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.x1 | 43120bt1 | \([0, -1, 0, -16, -16960]\) | \(-2401/619520\) | \(-124340142080\) | \([]\) | \(34560\) | \(0.80774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43120.x do not have complex multiplication.Modular form 43120.2.a.x
sage: E.q_eigenform(10)