Properties

Label 67760ce
Number of curves $1$
Conductor $67760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 67760ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67760.b1 67760ce1 \([0, 0, 0, -4494787, -3667951166]\) \(-11437987859001/358400\) \(-314680209204838400\) \([]\) \(2787840\) \(2.4537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760ce1 has rank \(0\).

Complex multiplication

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

Modular form 67760.2.a.ce

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 3 q^{13} - 3 q^{15} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display