Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10304.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.c1 10304bi1 \([0, 0, 0, 212, 40]\) \(1029037824/596183\) \(-610491392\) \([]\) \(10752\) \(0.37528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10304.c1 has rank \(1\).

Complex multiplication

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

Modular form 10304.2.a.c

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