Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 35280.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.i1 35280bt1 \([0, 0, 0, -588, -42532]\) \(-1024/35\) \(-768464444160\) \([]\) \(46080\) \(0.96093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280.i1 has rank \(1\).

Complex multiplication

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

Modular form 35280.2.a.i

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