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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 19074u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19074.u1 | 19074u1 | \([1, 1, 1, -57, -201]\) | \(-70945777/5808\) | \(-1678512\) | \([]\) | \(4608\) | \(-0.059588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19074u do not have complex multiplication.Modular form 19074.2.a.u
sage: E.q_eigenform(10)