Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 60984.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.u1 | 60984bm1 | \([0, 0, 0, 885357, 1145779371]\) | \(137566156032/1096135733\) | \(-611549649581401271664\) | \([]\) | \(1935360\) | \(2.6700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.u do not have complex multiplication.Modular form 60984.2.a.u
sage: E.q_eigenform(10)