Properties

Label 762.b
Number of curves $1$
Conductor $762$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 762.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
762.b1 762a1 \([1, 0, 1, -6, -8]\) \(-18609625/12192\) \(-12192\) \([]\) \(60\) \(-0.51495\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 762.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 762.b do not have complex multiplication.

Modular form 762.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} + 4 q^{11} + q^{12} - 2 q^{13} - q^{14} + q^{16} + 6 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display