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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 435600.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 435600.do1 | 435600do1 | \([0, 0, 0, -1098075, -1431157750]\) | \(-14641/80\) | \(-800090236154880000000\) | \([]\) | \(18247680\) | \(2.6950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600.do1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435600.do do not have complex multiplication.Modular form 435600.2.a.do
sage: E.q_eigenform(10)