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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 131043bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 131043.bc1 | 131043bd1 | \([0, -1, 1, 1383232, -30976705]\) | \(512000/297\) | \(-169783299347823716643\) | \([]\) | \(7113600\) | \(2.5712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131043bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 131043bd do not have complex multiplication.Modular form 131043.2.a.bd
sage: E.q_eigenform(10)