Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 152460bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152460.u1 | 152460bu1 | \([0, 0, 0, -2715768, 1722610692]\) | \(-330287698649088/21875\) | \(-146709208800000\) | \([]\) | \(1866240\) | \(2.1753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152460bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152460bu do not have complex multiplication.Modular form 152460.2.a.bu
sage: E.q_eigenform(10)