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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 44352.cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44352.cm1 | 44352l1 | \([0, 0, 0, 3252, 255064]\) | \(137566156032/1096135733\) | \(-30305960745984\) | \([]\) | \(86016\) | \(1.2683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352.cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44352.cm do not have complex multiplication.Modular form 44352.2.a.cm
sage: E.q_eigenform(10)