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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 46800.do
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46800.do1 | 46800fh1 | \([0, 0, 0, -12000, 537500]\) | \(-524288/39\) | \(-14215500000000\) | \([]\) | \(107520\) | \(1.2725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.do do not have complex multiplication.Modular form 46800.2.a.do
sage: E.q_eigenform(10)