Properties

Label 142956.b
Number of curves $1$
Conductor $142956$
CM no
Rank $1$

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

Elliptic curves in class 142956.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.b1 142956b1 \([0, 0, 0, -1563852, -1052342075]\) \(-5914624/3267\) \(-233632176566847152688\) \([]\) \(9258624\) \(2.6118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.b1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.b

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 3 q^{7} + q^{11} + 5 q^{13} - 8 q^{17} + O(q^{20})\) Copy content Toggle raw display