Properties

Label 35280ep
Number of curves $1$
Conductor $35280$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("ep1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 35280ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
35280.j1 35280ep1 [0, 0, 0, 14112, -1963332] [] 161280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280ep1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35280ep do not have complex multiplication.

Modular form 35280.2.a.ep

sage: E.q_eigenform(10)
 
\( q - q^{5} - 5q^{11} + 3q^{13} - q^{17} + 6q^{19} + O(q^{20}) \)