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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 211600.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.cd1 | 211600be1 | \([0, 0, 0, -7604375, -8045428750]\) | \(270000\) | \(180115266146300000000\) | \([]\) | \(8743680\) | \(2.7467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 211600.cd do not have complex multiplication.Modular form 211600.2.a.cd
sage: E.q_eigenform(10)