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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 3520.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3520.j1 | 3520be1 | \([0, -1, 0, -13025, 576577]\) | \(-7458308028872/859375\) | \(-28160000000\) | \([]\) | \(4480\) | \(1.0320\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3520.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3520.j do not have complex multiplication.Modular form 3520.2.a.j
sage: E.q_eigenform(10)