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SageMath
E = EllipticCurve("nb1")
E.isogeny_class()
Elliptic curves in class 176400.nb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.nb1 | 176400pp1 | \([0, 0, 0, -12495, 1274245]\) | \(-6288640/16807\) | \(-576588478258800\) | \([]\) | \(552960\) | \(1.5198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.nb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.nb do not have complex multiplication.Modular form 176400.2.a.nb
sage: E.q_eigenform(10)