Properties

Label 338100a
Number of curves $1$
Conductor $338100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 338100a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.a1 338100a1 \([0, -1, 0, 467, -15938]\) \(917504/9315\) \(-114108750000\) \([]\) \(290304\) \(0.80280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338100a do not have complex multiplication.

Modular form 338100.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 6 q^{11} + 2 q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display