Properties

Label 5780.e
Number of curves $1$
Conductor $5780$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 5780.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5780.e1 5780a1 \([0, -1, 0, -181, -879]\) \(8912896/5\) \(369920\) \([]\) \(1512\) \(0.015536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5780.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5780.e do not have complex multiplication.

Modular form 5780.2.a.e

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + 2 q^{7} + q^{9} + 5 q^{11} + 6 q^{13} - 2 q^{15} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display