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

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

Elliptic curves in class 29400.z

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.z1 29400cq1 [0, -1, 0, -128, -468] [] 5760 \(\Gamma_0(N)\)-optimal


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)
\( q - q^{3} + q^{9} - 4q^{13} - q^{17} + 6q^{19} + O(q^{20}) \)