Properties

Label 2535.g
Number of curves $1$
Conductor $2535$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 2535.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2535.g1 2535d1 \([0, -1, 1, 35, 93]\) \(2097152/3375\) \(-7414875\) \([]\) \(432\) \(0.0034029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2535.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2535.g do not have complex multiplication.

Modular form 2535.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + 2 q^{12} - q^{15} + 4 q^{16} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display