Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6762bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.y1 6762bd1 \([1, 1, 1, 445703, -76671673]\) \(83228502970940543/69854999176704\) \(-8218370798140048896\) \([]\) \(190080\) \(2.3171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762bd1 has rank \(0\).

Complex multiplication

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

Modular form 6762.2.a.bd

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