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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 92400.bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92400.bt1 | 92400r1 | \([0, -1, 0, -25485208, -50256031088]\) | \(-91528907990864450/1604769890031\) | \(-32095397800620000000000\) | \([]\) | \(7983360\) | \(3.1160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92400.bt do not have complex multiplication.Modular form 92400.2.a.bt
sage: E.q_eigenform(10)