Properties

Label 93100.by
Number of curves $1$
Conductor $93100$
CM no
Rank $0$

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

Elliptic curves in class 93100.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93100.by1 93100bc1 \([0, -1, 0, -26133, 1641137]\) \(-4194304/19\) \(-8941324000000\) \([]\) \(277200\) \(1.3367\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93100.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 93100.by do not have complex multiplication.

Modular form 93100.2.a.by

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} + 5 q^{11} - 4 q^{13} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display