Properties

Label 142912.c
Number of curves $1$
Conductor $142912$
CM no
Rank $0$

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

Elliptic curves in class 142912.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.c1 142912b1 \([0, 0, 0, -124, -152]\) \(205915392/109417\) \(112043008\) \([]\) \(73728\) \(0.23594\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 142912.c do not have complex multiplication.

Modular form 142912.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} - q^{7} + 6 q^{9} + q^{11} - 3 q^{13} - 6 q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display