Properties

Label 35280fg
Number of curves $1$
Conductor $35280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fg1")
 
E.isogeny_class()
 

Elliptic curves in class 35280fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.et1 35280fg1 \([0, 0, 0, -49392, -7260624]\) \(-110592/125\) \(-15061903105536000\) \([]\) \(188160\) \(1.7986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280fg1 has rank \(1\).

Complex multiplication

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

Modular form 35280.2.a.fg

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