Properties

Label 28175ba
Number of curves $1$
Conductor $28175$
CM no
Rank $0$

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

Elliptic curves in class 28175ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28175.r1 28175ba1 \([0, -1, 1, -420583, -104853932]\) \(-35806478336/3703\) \(-850887201171875\) \([]\) \(130560\) \(1.8973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28175ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28175ba do not have complex multiplication.

Modular form 28175.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - 2 q^{9} - q^{11} + 2 q^{12} - q^{13} + 4 q^{16} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display