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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 304920.el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304920.el1 | 304920el1 | \([0, 0, 0, -1452, 165044]\) | \(-1024/35\) | \(-11571553002240\) | \([]\) | \(571200\) | \(1.1869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304920.el1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304920.el do not have complex multiplication.Modular form 304920.2.a.el
sage: E.q_eigenform(10)