Properties

Label 102850.v
Number of curves $1$
Conductor $102850$
CM no
Rank $0$

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

Elliptic curves in class 102850.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.v1 102850g1 \([1, 1, 0, -13784025, -19703694875]\) \(-153195680944569461209/3612500000000\) \(-6829882812500000000\) \([]\) \(5068800\) \(2.7257\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 102850.v do not have complex multiplication.

Modular form 102850.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 3 q^{7} - q^{8} - 2 q^{9} - q^{12} + 4 q^{13} - 3 q^{14} + q^{16} - q^{17} + 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display