Properties

Label 142296dc
Number of curves $1$
Conductor $142296$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 142296dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142296.q1 142296dc1 \([0, -1, 0, -12756, 605277]\) \(-91625216/9261\) \(-23203001196144\) \([]\) \(331776\) \(1.3046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142296dc1 has rank \(2\).

Complex multiplication

The elliptic curves in class 142296dc do not have complex multiplication.

Modular form 142296.2.a.dc

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{13} + q^{15} - 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display