Properties

Label 76440.n
Number of curves $1$
Conductor $76440$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 76440.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.n1 76440bv1 \([0, -1, 0, -1521, -32955]\) \(-31042794496/20596875\) \(-258367200000\) \([]\) \(77760\) \(0.89063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440.n1 has rank \(0\).

Complex multiplication

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

Modular form 76440.2.a.n

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