Properties

Label 260100.z
Number of curves $1$
Conductor $260100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 260100.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
260100.z1 260100z1 \([0, 0, 0, -2947800, -41885781500]\) \(-8192/2187\) \(-756269516081306124000000\) \([]\) \(25589760\) \(3.2611\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 260100.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 260100.z do not have complex multiplication.

Modular form 260100.2.a.z

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} - 3 q^{11} - 3 q^{13} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display