Properties

Label 142296.ci
Number of curves $1$
Conductor $142296$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 142296.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142296.ci1 142296c1 \([0, 1, 0, 11239408, 34592478864]\) \(50250332/194481\) \(-607704185118189826630656\) \([]\) \(16220160\) \(3.2464\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142296.ci1 has rank \(1\).

Complex multiplication

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

Modular form 142296.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{9} - q^{13} - 3 q^{15} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display