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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 202160.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.cx1 | 202160ca1 | \([0, 0, 0, 11552, 1454108]\) | \(14155776/84035\) | \(-1012096156117760\) | \([]\) | \(1572480\) | \(1.5612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202160.cx do not have complex multiplication.Modular form 202160.2.a.cx
sage: E.q_eigenform(10)