Properties

Label 188760.da
Number of curves $1$
Conductor $188760$
CM no
Rank $0$

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

Elliptic curves in class 188760.da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.da1 188760bx1 \([0, 1, 0, -164600, -32133840]\) \(-102129622/32955\) \(-159142228289341440\) \([]\) \(3421440\) \(2.0134\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.da1 has rank \(0\).

Complex multiplication

The elliptic curves in class 188760.da do not have complex multiplication.

Modular form 188760.2.a.da

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 5 q^{7} + q^{9} + q^{13} + q^{15} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display