Properties

Label 338100.c
Number of curves $1$
Conductor $338100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 338100.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.c1 338100c1 \([0, -1, 0, -181708, 28864312]\) \(35248450000/1358127\) \(25565165347680000\) \([]\) \(2376000\) \(1.9160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100.c1 has rank \(1\).

Complex multiplication

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

Modular form 338100.2.a.c

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