Properties

Label 71478.v
Number of curves $1$
Conductor $71478$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 71478.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71478.v1 71478bc1 \([1, -1, 0, 18, -4172]\) \(2375/28512\) \(-7503474528\) \([]\) \(57600\) \(0.57379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71478.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 71478.v do not have complex multiplication.

Modular form 71478.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 4 q^{7} - q^{8} + q^{11} - 5 q^{13} - 4 q^{14} + q^{16} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display