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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 257400bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257400.bb1 | 257400bb1 | \([0, 0, 0, 916738125, 3333660629375]\) | \(18700449490920637280000/11875724217287331687\) | \(-54108768465015404998893750000\) | \([]\) | \(174182400\) | \(4.2024\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257400bb do not have complex multiplication.Modular form 257400.2.a.bb
sage: E.q_eigenform(10)