Properties

Label 200400be
Number of curves $1$
Conductor $200400$
CM no
Rank $0$

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

Elliptic curves in class 200400be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.ba1 200400be1 \([0, -1, 0, -378, -2673]\) \(2994453248/40581\) \(81162000\) \([]\) \(111360\) \(0.32408\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200400be do not have complex multiplication.

Modular form 200400.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} + q^{9} + 6 q^{11} + q^{13} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display