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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 62400ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.ha1 | 62400ds1 | \([0, 1, 0, -4908, -134262]\) | \(-326938350400/767637\) | \(-30705480000\) | \([]\) | \(92160\) | \(0.89260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400ds1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400ds do not have complex multiplication.Modular form 62400.2.a.ds
sage: E.q_eigenform(10)