Properties

Label 23805u
Number of curves $1$
Conductor $23805$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 23805u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23805.v1 23805u1 \([0, 0, 1, -1587, -7803]\) \(2166784/1125\) \(229504600125\) \([]\) \(36864\) \(0.87188\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23805u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 23805u do not have complex multiplication.

Modular form 23805.2.a.u

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{7} + 2 q^{10} + 5 q^{11} - 4 q^{14} - 4 q^{16} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display