Properties

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

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Show commands: SageMath
E = EllipticCurve("io1")
 
E.isogeny_class()
 

Elliptic curves in class 88200io

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.be1 88200io1 \([0, 0, 0, -180075, -15966650]\) \(2450\) \(263583304346880000\) \([]\) \(822528\) \(2.0404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200io1 has rank \(1\).

Complex multiplication

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

Modular form 88200.2.a.io

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