Properties

Label 4900.s
Number of curves $1$
Conductor $4900$
CM no
Rank $0$

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

Elliptic curves in class 4900.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.s1 4900s1 \([0, -1, 0, -1458, 22037]\) \(-160000\) \(-2143750000\) \([]\) \(2880\) \(0.62856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4900.s do not have complex multiplication.

Modular form 4900.2.a.s

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} - q^{11} + 2 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display