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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 159201r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159201.q1 | 159201r1 | \([1, -1, 1, -1701461, 1169612434]\) | \(-13851/7\) | \(-275300107006465918629\) | \([]\) | \(5515776\) | \(2.6269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159201r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159201r do not have complex multiplication.Modular form 159201.2.a.r
sage: E.q_eigenform(10)