Properties

Label 327990.u
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

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

Elliptic curves in class 327990.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.u1 327990u1 \([1, 0, 1, 5777652, -4714773494]\) \(42637720316519/43875000000\) \(-21948311368663875000000\) \([]\) \(29315520\) \(2.9737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327990.u do not have complex multiplication.

Modular form 327990.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 3q^{7} - q^{8} + q^{9} - q^{10} - q^{11} + q^{12} - q^{13} - 3q^{14} + q^{15} + q^{16} + 2q^{17} - q^{18} + O(q^{20})\)  Toggle raw display