Properties

Label 4080.y
Number of curves $1$
Conductor $4080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 4080.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4080.y1 4080bf1 \([0, 1, 0, 30, -45]\) \(180472064/185895\) \(-2974320\) \([]\) \(672\) \(-0.071069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4080.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4080.y do not have complex multiplication.

Modular form 4080.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} + q^{9} - q^{11} - 2 q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display