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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 138600bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.v1 | 138600bz1 | \([0, 0, 0, 12300, 596500]\) | \(70575104/93555\) | \(-272806380000000\) | \([]\) | \(368640\) | \(1.4558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600bz do not have complex multiplication.Modular form 138600.2.a.bz
sage: E.q_eigenform(10)