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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 12600bn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 12600.cj1 | 12600bn1 | \([0, 0, 0, -1906875, 1333293750]\) | \(-1947910950/823543\) | \(-324195937380000000000\) | \([]\) | \(443520\) | \(2.6435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12600bn do not have complex multiplication.Modular form 12600.2.a.bn
sage: E.q_eigenform(10)