Properties

Label 141512.be
Number of curves $1$
Conductor $141512$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 141512.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141512.be1 141512m1 \([0, 1, 0, -20792, 1147061]\) \(1462911232\) \(679540624\) \([]\) \(193536\) \(1.0097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141512.be1 has rank \(2\).

Complex multiplication

The elliptic curves in class 141512.be do not have complex multiplication.

Modular form 141512.2.a.be

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