Properties

Label 297825.ci
Number of curves $1$
Conductor $297825$
CM no
Rank $0$

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

Elliptic curves in class 297825.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297825.ci1 297825ci1 \([1, 0, 1, -1376, 15023]\) \(51026761/11979\) \(67569046875\) \([]\) \(302400\) \(0.78979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297825.ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 297825.ci do not have complex multiplication.

Modular form 297825.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{6} + 3 q^{7} - 3 q^{8} + q^{9} + q^{11} - q^{12} + 6 q^{13} + 3 q^{14} - q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display