Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.f1 435344f1 \([0, 1, 0, -493029, 132216787]\) \(670381355008/5025293\) \(99353106350231552\) \([]\) \(5107200\) \(2.0916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344f1 has rank \(1\).

Complex multiplication

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

Modular form 435344.2.a.f

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