Properties

Label 6762m
Number of curves $1$
Conductor $6762$
CM no
Rank $1$

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

Elliptic curves in class 6762m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.n1 6762m1 \([1, 0, 1, 29276, 2265218]\) \(68769820673/94610592\) \(-3817878647605344\) \([]\) \(33600\) \(1.6756\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6762m do not have complex multiplication.

Modular form 6762.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + 2 q^{11} + q^{12} - q^{13} - q^{15} + q^{16} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display