Properties

Label 35280eo
Number of curves $1$
Conductor $35280$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("eo1")
 
E.isogeny_class()
 

Elliptic curves in class 35280eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.k1 35280eo1 \([0, 0, 0, -4368, 111692]\) \(-1007878144/6075\) \(-55553299200\) \([]\) \(46080\) \(0.90130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280eo1 has rank \(2\).

Complex multiplication

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

Modular form 35280.2.a.eo

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{11} - 7 q^{13} - 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display