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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 40425bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 40425.d1 | 40425bb1 | \([0, -1, 1, -98898, -9947302]\) | \(148455501824/26198073\) | \(18878334678559125\) | \([]\) | \(399168\) | \(1.8427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40425bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40425bb do not have complex multiplication.Modular form 40425.2.a.bb
sage: E.q_eigenform(10)