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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 130536.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130536.bz1 | 130536ce1 | \([0, 0, 0, -155379, 23621038]\) | \(-48201314/111\) | \(-955354996979712\) | \([]\) | \(709632\) | \(1.7556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130536.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 130536.bz do not have complex multiplication.Modular form 130536.2.a.bz
sage: E.q_eigenform(10)