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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 331350do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331350.do1 | 331350do1 | \([1, 0, 0, -23126767688, 1354021016572992]\) | \(-8121969458732291369689/2284200000000000\) | \(-384716932101590625000000000000\) | \([]\) | \(839393280\) | \(4.6581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331350do1 has rank \(2\).
Complex multiplication
The elliptic curves in class 331350do do not have complex multiplication.Modular form 331350.2.a.do
sage: E.q_eigenform(10)