Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 142956t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.ba1 142956t1 \([0, 0, 0, -161138487, -787285060162]\) \(145990721706064/5845851\) \(18528661320031236489984\) \([]\) \(14971392\) \(3.3557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956t1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.t

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