Properties

Label 142956ba
Number of curves $1$
Conductor $142956$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 142956ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.k1 142956ba1 \([0, 0, 0, 8664, -246924]\) \(221184/209\) \(-67962856059648\) \([]\) \(380160\) \(1.3413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142956ba do not have complex multiplication.

Modular form 142956.2.a.ba

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