Properties

Label 301392.by
Number of curves $1$
Conductor $301392$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 301392.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301392.by1 301392by1 \([0, 0, 0, -2853660, -1855455716]\) \(13770918300093568000/31622653517\) \(5901546089956608\) \([]\) \(3916800\) \(2.2697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301392.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 301392.by do not have complex multiplication.

Modular form 301392.2.a.by

sage: E.q_eigenform(10)
 
\(q + q^{7} - q^{11} - q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display