Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.w1 435344w1 \([0, 0, 0, 263341, -122204654]\) \(2917645350022143/11008380780544\) \(-7620265377431289856\) \([]\) \(7354368\) \(2.3059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344w1 has rank \(1\).

Complex multiplication

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

Modular form 435344.2.a.w

sage: E.q_eigenform(10)
 
\(q - 3q^{5} - q^{7} - 3q^{9} + 3q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display