Properties

Label 7381.c
Number of curves $1$
Conductor $7381$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 7381.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7381.c1 7381c1 \([1, 0, 1, -245, -1575]\) \(-912673/61\) \(-108065221\) \([]\) \(2380\) \(0.29349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7381.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7381.c do not have complex multiplication.

Modular form 7381.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} - q^{4} - 3 q^{5} - 2 q^{6} - q^{7} - 3 q^{8} + q^{9} - 3 q^{10} + 2 q^{12} - q^{13} - q^{14} + 6 q^{15} - q^{16} - 4 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display