Properties

Label 64974p
Number of curves $1$
Conductor $64974$
CM no
Rank $1$

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

Elliptic curves in class 64974p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64974.u1 64974p1 \([1, 0, 1, -77691, -8691770]\) \(-440797954857625/21898985472\) \(-2576393741795328\) \([]\) \(393984\) \(1.7183\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64974p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 64974p do not have complex multiplication.

Modular form 64974.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} - 2 q^{11} + q^{12} - q^{13} + q^{16} - q^{17} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display