Properties

Label 311696y
Number of curves $1$
Conductor $311696$
CM no
Rank $1$

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

Elliptic curves in class 311696y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311696.y1 311696y1 \([0, -1, 0, -170980, -26807812]\) \(1622348567321456/23833778129\) \(8121026224562944\) \([]\) \(1967616\) \(1.8560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311696y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 311696y do not have complex multiplication.

Modular form 311696.2.a.y

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