Properties

Label 455175.fb
Number of curves $1$
Conductor $455175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fb1")
 
E.isogeny_class()
 

Elliptic curves in class 455175.fb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.fb1 455175fb1 \([1, -1, 0, -16420167, 12371411866]\) \(6161940649/2734375\) \(217268617074114990234375\) \([]\) \(63452160\) \(3.1736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175.fb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 455175.fb do not have complex multiplication.

Modular form 455175.2.a.fb

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + q^{7} - 3 q^{8} + 6 q^{11} + 6 q^{13} + q^{14} - q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display