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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 155526bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.y1 | 155526bz1 | \([1, 0, 1, -22517, -1317760]\) | \(-20285403817/279936\) | \(-17422186755456\) | \([]\) | \(550368\) | \(1.3472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155526bz do not have complex multiplication.Modular form 155526.2.a.bz
sage: E.q_eigenform(10)