Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 10192.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10192.be1 | 10192bi1 | \([0, 1, 0, -72, -652]\) | \(-29791/104\) | \(-146112512\) | \([]\) | \(2304\) | \(0.25266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10192.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10192.be do not have complex multiplication.Modular form 10192.2.a.be
sage: E.q_eigenform(10)