Properties

Label 234416b
Number of curves $1$
Conductor $234416$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 234416b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.b1 234416b1 \([0, 0, 0, 10388, -80948]\) \(4116151296/2476019\) \(-74573096788736\) \([]\) \(995328\) \(1.3512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 234416b do not have complex multiplication.

Modular form 234416.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} + 3 q^{11} - q^{13} - 3 q^{15} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display