Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 308112.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308112.u1 | 308112u1 | \([0, -1, 0, -675040, 211533568]\) | \(70593496254289/824180736\) | \(397164705421983744\) | \([]\) | \(3991680\) | \(2.1892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308112.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308112.u do not have complex multiplication.Modular form 308112.2.a.u
sage: E.q_eigenform(10)