Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 338100o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.o1 338100o1 \([0, -1, 0, 1867, 31137]\) \(524288/621\) \(-852012000000\) \([]\) \(322560\) \(0.97549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100o1 has rank \(1\).

Complex multiplication

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

Modular form 338100.2.a.o

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