Properties

Label 230640.u
Number of curves $1$
Conductor $230640$
CM no
Rank $1$

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

Elliptic curves in class 230640.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230640.u1 230640u1 \([0, -1, 0, -3129336, -2405634960]\) \(-932288503609/148800000\) \(-540920003513548800000\) \([]\) \(8294400\) \(2.7064\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230640.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 230640.u do not have complex multiplication.

Modular form 230640.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} + 3 q^{11} + 2 q^{13} + q^{15} + 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display