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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 166410ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.c1 | 166410ca1 | \([1, -1, 0, 84311280, -10260091007744]\) | \(14382768678616871/9876709319915520\) | \(-45514579433317730300693329920\) | \([]\) | \(156119040\) | \(4.1780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410ca do not have complex multiplication.Modular form 166410.2.a.ca
sage: E.q_eigenform(10)