Properties

Label 460b
Number of curves $1$
Conductor $460$
CM no
Rank $0$

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

Elliptic curves in class 460b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
460.d1 460b1 \([0, 0, 0, -73, 2453]\) \(-2688885504/160908575\) \(-2574537200\) \([]\) \(360\) \(0.48558\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 460b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 460b do not have complex multiplication.

Modular form 460.2.a.b

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + 2 q^{7} + 6 q^{9} - 3 q^{13} - 3 q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display