Properties

Label 450840b
Number of curves $1$
Conductor $450840$
CM no
Rank $1$

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

Elliptic curves in class 450840b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.b1 450840b1 \([0, -1, 0, -13016, 3385980]\) \(-824122740964/16216331625\) \(-4798996315776000\) \([]\) \(2488320\) \(1.6899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450840b do not have complex multiplication.

Modular form 450840.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{7} + q^{9} - q^{11} - q^{13} + q^{15} - q^{19} + O(q^{20})\)  Toggle raw display