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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 85800cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.n1 | 85800cl1 | \([0, -1, 0, -208, 4537]\) | \(-160000/1287\) | \(-8043750000\) | \([]\) | \(49920\) | \(0.58350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85800cl do not have complex multiplication.Modular form 85800.2.a.cl
sage: E.q_eigenform(10)