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SageMath
E = EllipticCurve("xs1")
E.isogeny_class()
Elliptic curves in class 235200.xs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.xs1 | 235200xs1 | \([0, 1, 0, -2824033, -1848999937]\) | \(-105484561/1440\) | \(-34002179850240000000\) | \([]\) | \(7741440\) | \(2.5546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.xs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200.xs do not have complex multiplication.Modular form 235200.2.a.xs
sage: E.q_eigenform(10)