Properties

Label 202800.be
Number of curves $1$
Conductor $202800$
CM no
Rank $1$

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

Elliptic curves in class 202800.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202800.be1 202800dm1 \([0, -1, 0, -256091333, 1604254410537]\) \(-769623354048512/15247889631\) \(-36799325450958739500000000\) \([]\) \(56448000\) \(3.6985\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202800.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202800.be do not have complex multiplication.

Modular form 202800.2.a.be

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