Properties

Label 159201r
Number of curves $1$
Conductor $159201$
CM no
Rank $0$

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Show commands: 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)
 
\(q - q^{2} - q^{4} + 3 q^{5} + 3 q^{8} - 3 q^{10} + q^{11} - 6 q^{13} - q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display