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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1776.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1776.f1 | 1776k1 | \([0, 1, 0, -2917080, -1918643436]\) | \(-670206957616537490521/6109179936768\) | \(-25023201021001728\) | \([]\) | \(59616\) | \(2.3111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1776.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1776.f do not have complex multiplication.Modular form 1776.2.a.f
sage: E.q_eigenform(10)