Properties

Label 9900be
Number of curves $1$
Conductor $9900$
CM no
Rank $1$

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

Elliptic curves in class 9900be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9900.bb1 9900be1 \([0, 0, 0, -2775, 62350]\) \(-20261200/2673\) \(-311778720000\) \([]\) \(11520\) \(0.93834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9900be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9900be do not have complex multiplication.

Modular form 9900.2.a.be

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + q^{11} + 4 q^{13} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display