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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 439824.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439824.u1 | 439824u1 | \([0, -1, 0, -111589, -585539975]\) | \(-5102271397888/4915446963867\) | \(-148044139482109102848\) | \([]\) | \(15095808\) | \(2.5494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439824.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439824.u do not have complex multiplication.Modular form 439824.2.a.u
sage: E.q_eigenform(10)