Properties

Label 75712.v
Number of curves $1$
Conductor $75712$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 75712.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75712.v1 75712ca1 \([0, -1, 0, -38081, -9008351]\) \(-1352/7\) \(-31621429426356224\) \([]\) \(419328\) \(1.8503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75712.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 75712.v do not have complex multiplication.

Modular form 75712.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} + 4 q^{11} + q^{15} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display