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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 159936.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.do1 | 159936jq1 | \([0, -1, 0, -1027016545, 12664303069153]\) | \(1617840527930521321/623760113664\) | \(46188932215211740977168384\) | \([]\) | \(54190080\) | \(3.8901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.do1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.do do not have complex multiplication.Modular form 159936.2.a.do
sage: E.q_eigenform(10)