Properties

Label 152880.fu
Number of curves $1$
Conductor $152880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 152880.fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.fu1 152880gs1 \([0, 1, 0, -5161, 217139]\) \(-504871936/394875\) \(-11892902112000\) \([]\) \(316800\) \(1.2076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880.fu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 152880.fu do not have complex multiplication.

Modular form 152880.2.a.fu

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + 3 q^{11} + q^{13} - q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display