Properties

Label 9900s
Number of curves $1$
Conductor $9900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 9900s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9900.c1 9900s1 \([0, 0, 0, -69375, 7793750]\) \(-20261200/2673\) \(-4871542500000000\) \([]\) \(57600\) \(1.7431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9900s1 has rank \(0\).

Complex multiplication

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

Modular form 9900.2.a.s

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