Properties

Label 215985.be
Number of curves $1$
Conductor $215985$
CM no
Rank $0$

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

Elliptic curves in class 215985.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215985.be1 215985bg1 \([0, -1, 1, -575942011, -5320730434779]\) \(-11926249134908509075308544/2246680441062421875\) \(-3980131448848985159296875\) \([]\) \(58800000\) \(3.7218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215985.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215985.be do not have complex multiplication.

Modular form 215985.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} - q^{7} + q^{9} + 2 q^{12} + 5 q^{13} + q^{15} + 4 q^{16} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display