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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 323400p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 323400.p1 | 323400p1 | \([0, -1, 0, 1000417, -19061883588]\) | \(2508800/3557763\) | \(-157028123329372968750000\) | \([]\) | \(32659200\) | \(3.1299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400p do not have complex multiplication.Modular form 323400.2.a.p
sage: E.q_eigenform(10)