Properties

Label 88200.ed
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ed1")
 
E.isogeny_class()
 

Elliptic curves in class 88200.ed

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.ed1 88200hw1 \([0, 0, 0, -812138250, -9100538811875]\) \(-46028377077760/1162261467\) \(-1495862880795469851918750000\) \([]\) \(30643200\) \(3.9985\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200.ed1 has rank \(1\).

Complex multiplication

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

Modular form 88200.2.a.ed

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