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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 38720bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38720.dn1 | 38720bd1 | \([0, 0, 0, 37268, 2576816]\) | \(9261/10\) | \(-6181218395095040\) | \([]\) | \(506880\) | \(1.7166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38720bd do not have complex multiplication.Modular form 38720.2.a.bd
sage: E.q_eigenform(10)