Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4900.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.w1 4900v1 \([0, 0, 0, -1960, -34300]\) \(-221184/7\) \(-26353376000\) \([]\) \(6912\) \(0.77577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900.w1 has rank \(0\).

Complex multiplication

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

Modular form 4900.2.a.w

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 3 q^{11} + q^{13} - 5 q^{17} + 8 q^{19} + O(q^{20})\)  Toggle raw display