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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 385112.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 385112.u1 | 385112u1 | \([0, -1, 0, -124577388937, 16924193315288397]\) | \(5642017163771722268092767232/570626054098424597\) | \(21625122612485728951388603648\) | \([]\) | \(1254528000\) | \(4.8678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 385112.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 385112.u do not have complex multiplication.Modular form 385112.2.a.u
sage: E.q_eigenform(10)