Properties

Label 88200dp
Number of curves $1$
Conductor $88200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dp1")
 
E.isogeny_class()
 

Elliptic curves in class 88200dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.gb1 88200dp1 \([0, 0, 0, 1050, 5425]\) \(358400/243\) \(-86802030000\) \([]\) \(46080\) \(0.78758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200dp1 has rank \(0\).

Complex multiplication

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

Modular form 88200.2.a.dp

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