Properties

Label 277440.fs
Number of curves $1$
Conductor $277440$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fs1")
 
E.isogeny_class()
 

Elliptic curves in class 277440.fs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277440.fs1 277440fs1 \([0, 1, 0, -897441, -775423521]\) \(-43713001/116640\) \(-213294081092679106560\) \([]\) \(7050240\) \(2.5883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277440.fs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 277440.fs do not have complex multiplication.

Modular form 277440.2.a.fs

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + q^{11} - 3 q^{13} - q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display