Properties

Label 67032w
Number of curves $1$
Conductor $67032$
CM no
Rank $1$

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

Elliptic curves in class 67032w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67032.cg1 67032w1 \([0, 0, 0, -84, -700]\) \(-7168/19\) \(-173746944\) \([]\) \(13824\) \(0.26862\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67032w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67032w do not have complex multiplication.

Modular form 67032.2.a.w

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