Properties

Label 88200ba
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

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

Elliptic curves in class 88200ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.hi1 88200ba1 \([0, 0, 0, -661500, 208372500]\) \(-138240\) \(-231568526700000000\) \([]\) \(1088640\) \(2.1640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200ba do not have complex multiplication.

Modular form 88200.2.a.ba

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