Properties

Label 142912be
Number of curves $1$
Conductor $142912$
CM no
Rank $1$

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

Elliptic curves in class 142912be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.b1 142912be1 \([0, 0, 0, 32, -29024]\) \(221184/22211651\) \(-363915689984\) \([]\) \(221184\) \(0.89724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142912be do not have complex multiplication.

Modular form 142912.2.a.be

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + q^{7} + 6 q^{9} - q^{11} + 2 q^{13} + 3 q^{15} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display