Properties

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

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 88200cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.bl1 88200cr1 \([0, 0, 0, -180075, 27311375]\) \(12544\) \(51481114130250000\) \([]\) \(705600\) \(1.9501\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200cr1 has rank \(1\).

Complex multiplication

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

Modular form 88200.2.a.cr

sage: E.q_eigenform(10)
 
\(q - 3 q^{11} - 6 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display