Properties

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

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

Elliptic curves in class 35280ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.j1 35280ep1 \([0, 0, 0, 14112, -1963332]\) \(14155776/84035\) \(-1845083130428160\) \([]\) \(161280\) \(1.6112\) \(\Gamma_0(N)\)-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)
 
\(q - q^{5} - 5 q^{11} + 3 q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display