Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 6762.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.ba1 6762z1 \([1, 1, 1, -43, -127]\) \(-179706625/552\) \(-27048\) \([]\) \(1008\) \(-0.28116\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762.ba1 has rank \(0\).

Complex multiplication

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

Modular form 6762.2.a.ba

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