Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 142956bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.bd1 142956bg1 \([0, 0, 0, -399, 3078]\) \(-2815344/11\) \(-27447552\) \([]\) \(27648\) \(0.28525\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956bg1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.bg

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