Properties

Label 402930.bc
Number of curves $1$
Conductor $402930$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 402930.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.bc1 402930bc1 \([1, -1, 0, -1659840, -822651274]\) \(10896752313/370\) \(17172249228722610\) \([]\) \(9985536\) \(2.2070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 402930.bc do not have complex multiplication.

Modular form 402930.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} - 5 q^{13} - 3 q^{14} + q^{16} + 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display