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SageMath
E = EllipticCurve("nl1")
E.isogeny_class()
Elliptic curves in class 478800nl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 478800.nl1 | 478800nl1 | \([0, 0, 0, -2280675, -3059230750]\) | \(-28119423707929/70383600000\) | \(-3283817241600000000000\) | \([]\) | \(23224320\) | \(2.8165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800nl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 478800nl do not have complex multiplication.Modular form 478800.2.a.nl
sage: E.q_eigenform(10)