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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 231192.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
231192.u1 | 231192u1 | \([0, 0, 0, -12675, 786526]\) | \(-31250/19\) | \(-136921357228032\) | \([]\) | \(561600\) | \(1.4146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 231192.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 231192.u do not have complex multiplication.Modular form 231192.2.a.u
sage: E.q_eigenform(10)