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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 5776.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5776.j1 | 5776e1 | \([0, 1, 0, -43440, -6433996]\) | \(-722\) | \(-12556423695976448\) | \([]\) | \(38304\) | \(1.7815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5776.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5776.j do not have complex multiplication.Modular form 5776.2.a.j
sage: E.q_eigenform(10)