Properties

Label 430950fc
Number of curves $1$
Conductor $430950$
CM no
Rank $1$

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

Elliptic curves in class 430950fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.fc1 430950fc1 \([1, 1, 1, -1018313, 411811031]\) \(-1548415333009/77332320\) \(-5832317783857500000\) \([]\) \(9031680\) \(2.3619\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950fc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 430950fc do not have complex multiplication.

Modular form 430950.2.a.fc

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - 2 q^{7} + q^{8} + q^{9} + q^{11} - q^{12} - 2 q^{14} + q^{16} + q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display