Label 176400nu
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("nu1")
sage: E.isogeny_class()

Elliptic curves in class 176400nu

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
176400.bh1 176400nu1 [0, 0, 0, 5145, -4453855] [] 1032192 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 176400nu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400nu do not have complex multiplication.

Modular form

sage: E.q_eigenform(10)
\( q - 5q^{11} - 2q^{13} - 6q^{17} - 2q^{19} + O(q^{20}) \)