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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 79350.dp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 79350.dp1 | 79350db1 | \([1, 0, 0, -437397313, -5611325387383]\) | \(-14297287761529/12740198400\) | \(-8246593310651766374400000000\) | \([]\) | \(89026560\) | \(4.0537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.dp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.dp do not have complex multiplication.Modular form 79350.2.a.dp
sage: E.q_eigenform(10)