Properties

Label 308763.j
Number of curves $1$
Conductor $308763$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 308763.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308763.j1 308763j1 \([0, 0, 1, 156, -3000]\) \(7077888/69629\) \(-4130322651\) \([]\) \(125952\) \(0.52628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308763.j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 308763.j do not have complex multiplication.

Modular form 308763.2.a.j

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