Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 234416p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.p1 234416p1 \([0, -1, 0, -4181, 2911609]\) \(-268435456/121324931\) \(-3654081742648064\) \([]\) \(774144\) \(1.6653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416p1 has rank \(1\).

Complex multiplication

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

Modular form 234416.2.a.p

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