Properties

Label 80850ba
Number of curves $1$
Conductor $80850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 80850ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80850.j1 80850ba1 \([1, 1, 0, 118800, 29548800]\) \(1050284375/2737152\) \(-483236057969280000\) \([]\) \(1260000\) \(2.0770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80850ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80850ba do not have complex multiplication.

Modular form 80850.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{11} - q^{12} + q^{16} + q^{17} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display