Properties

Label 123210.e
Number of curves $1$
Conductor $123210$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 123210.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123210.e1 123210f1 \([1, -1, 0, -2310, -30610]\) \(36963/10\) \(368891109630\) \([]\) \(190080\) \(0.92748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123210.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 123210.e do not have complex multiplication.

Modular form 123210.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} - 4 q^{11} + 5 q^{13} + 3 q^{14} + q^{16} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display