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SageMath
E = EllipticCurve("nb1")
E.isogeny_class()
Elliptic curves in class 458640nb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.nb1 | 458640nb1 | \([0, 0, 0, -46904907, 759619990906]\) | \(-662989657192009/14097531093750\) | \(-242669311270106797440000000\) | \([]\) | \(180633600\) | \(3.7437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640nb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640nb do not have complex multiplication.Modular form 458640.2.a.nb
sage: E.q_eigenform(10)