Properties

Label 976b
Number of curves $1$
Conductor $976$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 976b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
976.b1 976b1 \([0, -1, 0, -32, -64]\) \(-912673/61\) \(-249856\) \([]\) \(128\) \(-0.21231\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 976b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 976b do not have complex multiplication.

Modular form 976.2.a.b

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 3 q^{5} - q^{7} + q^{9} + 5 q^{11} + q^{13} - 6 q^{15} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display