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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 51520.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51520.bz1 | 51520s1 | \([0, 1, 0, -13105, -581897]\) | \(-243090490825984/34514375\) | \(-35342720000\) | \([]\) | \(57344\) | \(1.0401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51520.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51520.bz do not have complex multiplication.Modular form 51520.2.a.bz
sage: E.q_eigenform(10)