Properties

Label 115920.bc
Number of curves $1$
Conductor $115920$
CM no
Rank $0$

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

Elliptic curves in class 115920.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.bc1 115920dr1 \([0, 0, 0, -218933328, 5078144713052]\) \(-6218589009063615570313216/56094690913037211867075\) \(-10468615596954656627481004800\) \([]\) \(70726656\) \(4.0590\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 115920.bc do not have complex multiplication.

Modular form 115920.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 5q^{11} + 4q^{13} - 2q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display