Properties

Label 187200ds
Number of curves $1$
Conductor $187200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 187200ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.fr1 187200ds1 \([0, 0, 0, -59700, -8820250]\) \(-32278933504/27421875\) \(-19990546875000000\) \([]\) \(1290240\) \(1.8255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200ds1 has rank \(1\).

Complex multiplication

The elliptic curves in class 187200ds do not have complex multiplication.

Modular form 187200.2.a.ds

sage: E.q_eigenform(10)
 
\(q - q^{7} - 5 q^{11} - q^{13} - 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display