Properties

Label 435344g
Number of curves $1$
Conductor $435344$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.g1 435344g1 \([0, 1, 0, -53585393, 150961257019]\) \(13770918300093568000/31622653517\) \(39074946201532736768\) \([]\) \(27417600\) \(3.0029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344g1 has rank \(1\).

Complex multiplication

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

Modular form 435344.2.a.g

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