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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 361920j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361920.j1 | 361920j1 | \([0, -1, 0, -445716661, -3651170017235]\) | \(-597696040869577536732798976/5641791489003680404875\) | \(-92435111755836299753472000\) | \([]\) | \(182476800\) | \(3.8037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361920j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361920j do not have complex multiplication.Modular form 361920.2.a.j
sage: E.q_eigenform(10)