Properties

Label 1452b
Number of curves $1$
Conductor $1452$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 1452b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1452.a1 1452b1 \([0, -1, 0, 4, 24]\) \(176/9\) \(-278784\) \([]\) \(144\) \(-0.27544\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1452b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1452b do not have complex multiplication.

Modular form 1452.2.a.b

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