Properties

Label 6762be
Number of curves $1$
Conductor $6762$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 6762be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.w1 6762be1 \([1, 1, 1, -50, -28519]\) \(-49/1242\) \(-350834259258\) \([]\) \(17136\) \(0.89420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762be1 has rank \(0\).

Complex multiplication

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

Modular form 6762.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 4 q^{5} - q^{6} + q^{8} + q^{9} - 4 q^{10} - 5 q^{11} - q^{12} - 2 q^{13} + 4 q^{15} + q^{16} - 3 q^{17} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display