Properties

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

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 187200fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.la1 187200fc1 \([0, 0, 0, -18750, -981250]\) \(1600000/13\) \(5923125000000\) \([]\) \(518400\) \(1.2777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200fc1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.fc

sage: E.q_eigenform(10)
 
\(q + 2 q^{7} - 6 q^{11} - q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display