Properties

Label 73960.b
Number of curves $1$
Conductor $73960$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 73960.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73960.b1 73960a1 \([0, -1, 0, -616, 2538540]\) \(-2/215\) \(-2783422577735680\) \([]\) \(413952\) \(1.6424\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73960.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 73960.b do not have complex multiplication.

Modular form 73960.2.a.b

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