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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 266800.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266800.cd1 | 266800cd1 | \([0, 0, 0, -127675, -9961750]\) | \(3596344921161/1411372000\) | \(90327808000000000\) | \([]\) | \(4561920\) | \(1.9521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266800.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266800.cd do not have complex multiplication.Modular form 266800.2.a.cd
sage: E.q_eigenform(10)