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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 9450.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.cg1 | 9450do1 | \([1, -1, 1, -755407805, 8023994584197]\) | \(-502229023208369508642555/2365374966787997696\) | \(-224525826925579468800000000\) | \([]\) | \(6514200\) | \(3.9063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.cg do not have complex multiplication.Modular form 9450.2.a.cg
sage: E.q_eigenform(10)