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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 44100.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44100.do1 | 44100dq1 | \([0, 0, 0, -55125, 5788125]\) | \(-34560/7\) | \(-3752267793750000\) | \([]\) | \(276480\) | \(1.7109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100.do do not have complex multiplication.Modular form 44100.2.a.do
sage: E.q_eigenform(10)