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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 180999u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180999.u1 | 180999u1 | \([0, 0, 1, -4429659, 3588444135]\) | \(-2731787761881088/19171971\) | \(-67461253342322931\) | \([]\) | \(5548032\) | \(2.4086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180999u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180999u do not have complex multiplication.Modular form 180999.2.a.u
sage: E.q_eigenform(10)