Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 142956.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.i1 142956g1 \([0, 0, 0, -1172889, -467982711]\) \(2495232/121\) \(8653043576549894544\) \([]\) \(3102624\) \(2.3935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.i1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.i

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