Properties

Label 76440.cb
Number of curves $1$
Conductor $76440$
CM no
Rank $0$

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

Elliptic curves in class 76440.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.cb1 76440ck1 \([0, 1, 0, 229, 6390]\) \(14336/195\) \(-17986179120\) \([]\) \(60480\) \(0.64849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440.cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76440.cb do not have complex multiplication.

Modular form 76440.2.a.cb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + 3 q^{11} + q^{13} - q^{15} - 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display