Properties

Label 67760.p
Number of curves $1$
Conductor $67760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 67760.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67760.p1 67760l1 \([0, -1, 0, -9280, 349472]\) \(-356696720402/2734375\) \(-677600000000\) \([]\) \(86016\) \(1.0998\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67760.p do not have complex multiplication.

Modular form 67760.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 3 q^{13} - q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display