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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 72450bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.e1 | 72450bz1 | \([1, -1, 0, 60258, -114808834]\) | \(84972077055/20040095362\) | \(-5706730280819531250\) | \([]\) | \(1290240\) | \(2.2782\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450bz do not have complex multiplication.Modular form 72450.2.a.bz
sage: E.q_eigenform(10)