Properties

Label 76440y
Number of curves $1$
Conductor $76440$
CM no
Rank $1$

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

Elliptic curves in class 76440y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.ci1 76440y1 \([0, 1, 0, -315331, -68271190]\) \(-767228471296/142155\) \(-642484304345520\) \([]\) \(555072\) \(1.8437\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76440y do not have complex multiplication.

Modular form 76440.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + 5 q^{11} - q^{13} - q^{15} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display