Properties

Label 344760.b
Number of curves $1$
Conductor $344760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 344760.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.b1 344760b1 \([0, -1, 0, -77796, 8707581]\) \(-674250071296/31416255\) \(-2426244198084720\) \([]\) \(2257920\) \(1.7154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 344760.b do not have complex multiplication.

Modular form 344760.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} + q^{15} + q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display