Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 76440.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.v1 76440cg1 \([0, -1, 0, 320, -9428]\) \(35998942/394875\) \(-39626496000\) \([]\) \(46080\) \(0.71457\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440.v1 has rank \(1\).

Complex multiplication

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

Modular form 76440.2.a.v

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