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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 203280.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203280.j1 | 203280hd1 | \([0, -1, 0, -213226361, 1425116473365]\) | \(-2364015519613191629824/566330060131171875\) | \(-256841791399945978380000000\) | \([]\) | \(74188800\) | \(3.7863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203280.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 203280.j do not have complex multiplication.Modular form 203280.2.a.j
sage: E.q_eigenform(10)