Properties

Label 158400.fc
Number of curves $1$
Conductor $158400$
CM no
Rank $0$

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

Elliptic curves in class 158400.fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
158400.fc1 158400v1 \([0, 0, 0, -79500, -8710000]\) \(-2977540/33\) \(-615859200000000\) \([]\) \(614400\) \(1.6528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 158400.fc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 158400.fc do not have complex multiplication.

Modular form 158400.2.a.fc

sage: E.q_eigenform(10)
 
\(q - q^{7} - q^{11} - 4 q^{13} - 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display