Properties

Label 338100bc
Number of curves $1$
Conductor $338100$
CM no
Rank $0$

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

Elliptic curves in class 338100bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.bc1 338100bc1 \([0, -1, 0, -1378533, 624293937]\) \(-615640662016/978075\) \(-460278182700000000\) \([]\) \(6082560\) \(2.2872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338100bc do not have complex multiplication.

Modular form 338100.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} + 4q^{13} + 6q^{17} - 7q^{19} + O(q^{20})\)  Toggle raw display