Properties

Label 86640.da
Number of curves $1$
Conductor $86640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 86640.da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86640.da1 86640db1 \([0, 1, 0, -1877681, -991029006]\) \(-351119534556135424/29056536675\) \(-60586830656362800\) \([]\) \(1149120\) \(2.2644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86640.da1 has rank \(1\).

Complex multiplication

The elliptic curves in class 86640.da do not have complex multiplication.

Modular form 86640.2.a.da

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} + 2 q^{11} - q^{13} - q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display