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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 82800dh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 82800.y1 | 82800dh1 | \([0, 0, 0, -2746875, 1733206250]\) | \(78605490625/985527\) | \(28737967320000000000\) | \([]\) | \(2211840\) | \(2.5432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 82800dh do not have complex multiplication.Modular form 82800.2.a.dh
sage: E.q_eigenform(10)