Properties

Label 975c
Number of curves 11
Conductor 975975
CM no
Rank 00

Related objects

Downloads

Learn more

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

Elliptic curves in class 975c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
975.j1 975c1 [1,1,0,300,14625][1, 1, 0, 300, 14625] 304175/9477304175/9477 92548828125-92548828125 [][] 720720 0.784260.78426 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 975c1 has rank 00.

Complex multiplication

The elliptic curves in class 975c do not have complex multiplication.

Modular form 975.2.a.c

sage: E.q_eigenform(10)
 
q+q2q3q4q6+q73q8+q9q11+q12+q13+q14q16+7q17+q18+O(q20)q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} - 3 q^{8} + q^{9} - q^{11} + q^{12} + q^{13} + q^{14} - q^{16} + 7 q^{17} + q^{18} + O(q^{20}) Copy content Toggle raw display