Properties

Label 106352b
Number of curves $1$
Conductor $106352$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 106352b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106352.g1 106352b1 \([0, -1, 0, -1252, -17233]\) \(-562432/23\) \(-8882625392\) \([]\) \(78848\) \(0.67649\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106352b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106352b do not have complex multiplication.

Modular form 106352.2.a.b

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