Properties

Label 1449.a
Number of curves $1$
Conductor $1449$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1449.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1449.a1 1449c1 \([0, 0, 1, -867, 11466]\) \(-98867482624/20696067\) \(-15087432843\) \([]\) \(2400\) \(0.67483\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1449.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1449.a do not have complex multiplication.

Modular form 1449.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 4 q^{5} - q^{7} + 8 q^{10} + 5 q^{11} - 2 q^{13} + 2 q^{14} - 4 q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display