Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 6762bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.bi1 6762bl1 \([1, 0, 0, -30136, 2017952]\) \(-25727239787761/101406816\) \(-11930410495584\) \([]\) \(17280\) \(1.3667\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762bl1 has rank \(1\).

Complex multiplication

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

Modular form 6762.2.a.bl

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