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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 166635r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166635.bc1 | 166635r1 | \([0, 0, 1, -168222, -26427650]\) | \(2580674412544/14467005\) | \(2951328175583445\) | \([]\) | \(860160\) | \(1.8107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166635r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166635r do not have complex multiplication.Modular form 166635.2.a.r
sage: E.q_eigenform(10)