Properties

Label 29400.z
Number of curves $1$
Conductor $29400$
CM no
Rank $1$

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

Elliptic curves in class 29400.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.z1 29400cq1 \([0, -1, 0, -128, -468]\) \(93170/9\) \(22579200\) \([]\) \(5760\) \(0.14846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29400.z do not have complex multiplication.

Modular form 29400.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 4 q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display