Properties

Label 435344.q
Number of curves $1$
Conductor $435344$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.q1 435344q1 \([0, -1, 0, -4788, -126725]\) \(-157216000/1127\) \(-87037019888\) \([]\) \(430848\) \(0.93156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435344.q do not have complex multiplication.

Modular form 435344.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2q^{9} - 6q^{11} + O(q^{20})\)  Toggle raw display