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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 424830j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.j1 | 424830j1 | \([1, 1, 0, -208128, 329936832]\) | \(-29324621982169/1366875000000\) | \(-46474516816875000000\) | \([]\) | \(11430720\) | \(2.4538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 424830j do not have complex multiplication.Modular form 424830.2.a.j
sage: E.q_eigenform(10)