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

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Show commands for: SageMath
sage: E = EllipticCurve("q1")
sage: E.isogeny_class()

Elliptic curves in class 29400.q

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.q1 29400cs1 [0, -1, 0, -97560633, -370870269363] [] 1935360 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 29400.q1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.q

sage: E.q_eigenform(10)
\( q - q^{3} + q^{9} - 2q^{11} + q^{13} - 3q^{19} + O(q^{20}) \)