Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 97104.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.u1 | 97104be1 | \([0, -1, 0, -9378, 352755]\) | \(-19727991904000/3720087\) | \(-17201682288\) | \([]\) | \(114048\) | \(0.96551\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104.u do not have complex multiplication.Modular form 97104.2.a.u
sage: E.q_eigenform(10)