Properties

Label 142956.c
Number of curves $1$
Conductor $142956$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 142956.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.c1 142956y1 \([0, 0, 0, 69768, -2470095]\) \(330349805568/214358881\) \(-24370248536880048\) \([]\) \(1016064\) \(1.8332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.c1 has rank \(2\).

Complex multiplication

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

Modular form 142956.2.a.c

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