Properties

Label 180999u
Number of curves $1$
Conductor $180999$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 180999u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180999.u1 180999u1 \([0, 0, 1, -4429659, 3588444135]\) \(-2731787761881088/19171971\) \(-67461253342322931\) \([]\) \(5548032\) \(2.4086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180999u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180999u do not have complex multiplication.

Modular form 180999.2.a.u

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} + q^{7} - 6 q^{10} + 2 q^{11} + 2 q^{14} - 4 q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display