Properties

Label 134640.w
Number of curves $1$
Conductor $134640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 134640.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.w1 134640dr1 \([0, 0, 0, 281277, -157286078]\) \(22253722294800933/109514680000000\) \(-12111447490560000000\) \([]\) \(2419200\) \(2.3440\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640.w1 has rank \(1\).

Complex multiplication

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

Modular form 134640.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + q^{11} - 4 q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display