Properties

Label 10304.bl
Number of curves $1$
Conductor $10304$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10304.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.bl1 10304g1 \([0, 0, 0, 212, -40]\) \(1029037824/596183\) \(-610491392\) \([]\) \(10752\) \(0.37528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10304.bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10304.bl do not have complex multiplication.

Modular form 10304.2.a.bl

sage: E.q_eigenform(10)
 
\(q + 3q^{3} + 4q^{5} - q^{7} + 6q^{9} - 2q^{11} - 5q^{13} + 12q^{15} + 4q^{19} + O(q^{20})\)  Toggle raw display