Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 116242.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.j1 | 116242c1 | \([1, 0, 1, -7980046, 8736220096]\) | \(-155679925959005140896625/1253504716655034368\) | \(-452515202712467406848\) | \([]\) | \(4802400\) | \(2.7911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.j do not have complex multiplication.Modular form 116242.2.a.j
sage: E.q_eigenform(10)