Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 142956.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.d1 142956z1 \([0, 0, 0, 25186248, 16942381605]\) \(330349805568/214358881\) \(-1146519812606482849482288\) \([]\) \(19305216\) \(3.3055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.d1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.d

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