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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 287490.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.cd1 | 287490cd1 | \([1, 1, 1, -117226, 109394423]\) | \(-130134465938979721/3704400000000000\) | \(-5071323600000000000\) | \([]\) | \(9266400\) | \(2.2697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490.cd do not have complex multiplication.Modular form 287490.2.a.cd
sage: E.q_eigenform(10)