Properties

Label 238260.z
Number of curves $1$
Conductor $238260$
CM no
Rank $0$

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

Elliptic curves in class 238260.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
238260.z1 238260z1 \([0, 1, 0, -796125, 435350223]\) \(-4633471246336/4125174075\) \(-49682546851004179200\) \([]\) \(5080320\) \(2.4764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 238260.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 238260.z do not have complex multiplication.

Modular form 238260.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 2 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} + q^{17} + O(q^{20})\) Copy content Toggle raw display