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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 296208bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.bz1 | 296208bz1 | \([0, 0, 0, 1452, 5324]\) | \(27648/17\) | \(-208165503744\) | \([]\) | \(172800\) | \(0.86096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208bz do not have complex multiplication.Modular form 296208.2.a.bz
sage: E.q_eigenform(10)