Properties

Label 35280.ef
Number of curves $1$
Conductor $35280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ef1")
 
E.isogeny_class()
 

Elliptic curves in class 35280.ef

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.ef1 35280fi1 \([0, 0, 0, -5187, 145474]\) \(-105484561/1440\) \(-210691031040\) \([]\) \(46080\) \(0.97967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280.ef1 has rank \(1\).

Complex multiplication

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

Modular form 35280.2.a.ef

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} - 7 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display