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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 35739.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.u1 | 35739l1 | \([0, 0, 1, 102885, -619025]\) | \(512000/297\) | \(-69866081509224627\) | \([]\) | \(474240\) | \(1.9216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35739.u do not have complex multiplication.Modular form 35739.2.a.u
sage: E.q_eigenform(10)