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SageMath
E = EllipticCurve("it1")
E.isogeny_class()
Elliptic curves in class 58800.it
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.it1 | 58800dy1 | \([0, 1, 0, 5717, -67012]\) | \(358400/243\) | \(-14008466430000\) | \([]\) | \(80640\) | \(1.2112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.it1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.it do not have complex multiplication.Modular form 58800.2.a.it
sage: E.q_eigenform(10)