Properties

Label 265335.cb
Number of curves $1$
Conductor $265335$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 265335.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265335.cb1 265335cb1 \([0, -1, 1, -112030, -23747319]\) \(-1376628736/1366875\) \(-154398318459091875\) \([]\) \(4826304\) \(1.9940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265335.cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 265335.cb do not have complex multiplication.

Modular form 265335.2.a.cb

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + q^{5} - 2 q^{6} + q^{9} + 2 q^{10} - 6 q^{11} - 2 q^{12} + 3 q^{13} - q^{15} - 4 q^{16} - 4 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display