Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 4900.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.v1 4900c1 \([0, 0, 0, -8575, -600250]\) \(-3024/5\) \(-115296020000000\) \([]\) \(24192\) \(1.3891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900.v1 has rank \(0\).

Complex multiplication

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

Modular form 4900.2.a.v

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} - 2 q^{11} + 6 q^{13} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display