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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 159120.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159120.u1 | 159120dw1 | \([0, 0, 0, -82628383683, 9142097425009378]\) | \(-41788232654067676478925951960962/428246593676749551934035\) | \(-639368738386637667041098782720\) | \([]\) | \(394813440\) | \(4.8772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.u do not have complex multiplication.Modular form 159120.2.a.u
sage: E.q_eigenform(10)