Properties

Label 465690.m
Number of curves $1$
Conductor $465690$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 465690.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.m1 465690m1 \([1, 1, 0, -60997, -5879219]\) \(-3659312181032299/40579891200\) \(-278337473740800\) \([]\) \(2168320\) \(1.5866\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 465690.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 465690.m do not have complex multiplication.

Modular form 465690.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - q^{12} - 4 q^{13} - q^{14} - q^{15} + q^{16} + 3 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display