Properties

Label 338800.z
Number of curves $1$
Conductor $338800$
CM no
Rank $1$

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

Elliptic curves in class 338800.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338800.z1 338800z1 \([0, 1, 0, -85708, -22920537]\) \(-6288640/16807\) \(-186091410793750000\) \([]\) \(3432000\) \(2.0012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338800.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338800.z do not have complex multiplication.

Modular form 338800.2.a.z

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{7} + q^{9} - 4 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display