Properties

Label 338130be
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 338130be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.be1 338130be1 \([1, -1, 0, -2978199, -1984280787]\) \(-574468255729/2284880\) \(-11619362354446426320\) \([]\) \(9987840\) \(2.5154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130be do not have complex multiplication.

Modular form 338130.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 3 q^{7} - q^{8} - q^{10} - 2 q^{11} - q^{13} + 3 q^{14} + q^{16} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display