Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 61347ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.j1 | 61347ba1 | \([1, 0, 0, 3, 12]\) | \(143/3\) | \(-61347\) | \([]\) | \(4896\) | \(-0.40099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61347ba do not have complex multiplication.Modular form 61347.2.a.ba
sage: E.q_eigenform(10)