Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 281775u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.u1 | 281775u1 | \([0, -1, 1, 1417, 793943]\) | \(32768/28431\) | \(-272815435546875\) | \([]\) | \(1164800\) | \(1.4490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 281775u do not have complex multiplication.Modular form 281775.2.a.u
sage: E.q_eigenform(10)