Properties

Label 134640fp
Number of curves $1$
Conductor $134640$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("fp1")
 
E.isogeny_class()
 

Elliptic curves in class 134640fp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.u1 134640fp1 \([0, 0, 0, -6603, 208602]\) \(-575776436454/6755375\) \(-373545216000\) \([]\) \(152064\) \(1.0333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640fp1 has rank \(2\).

Complex multiplication

The elliptic curves in class 134640fp do not have complex multiplication.

Modular form 134640.2.a.fp

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display