Properties

Label 88445ba
Number of curves $1$
Conductor $88445$
CM no
Rank $0$

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

Elliptic curves in class 88445ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.bd1 88445ba1 \([1, 1, 0, -637172, -180980141]\) \(292201/25\) \(2447671530057996025\) \([]\) \(1378944\) \(2.2697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88445ba do not have complex multiplication.

Modular form 88445.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - 3 q^{8} - 2 q^{9} + q^{10} + 3 q^{11} + q^{12} - 7 q^{13} - q^{15} - q^{16} - 3 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display