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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 58800cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.fz1 | 58800cl1 | \([0, 1, 0, 48592, 9331188]\) | \(68782/243\) | \(-44827092576000000\) | \([]\) | \(470400\) | \(1.8781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800cl do not have complex multiplication.Modular form 58800.2.a.cl
sage: E.q_eigenform(10)