Properties

Label 72450.er
Number of curves $1$
Conductor $72450$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("er1")
 
E.isogeny_class()
 

Elliptic curves in class 72450.er

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.er1 72450ct1 \([1, -1, 1, -380, 2997]\) \(-14348907/322\) \(-135843750\) \([]\) \(31360\) \(0.34892\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450.er1 has rank \(0\).

Complex multiplication

The elliptic curves in class 72450.er do not have complex multiplication.

Modular form 72450.2.a.er

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} + 2 q^{11} + q^{13} + q^{14} + q^{16} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display