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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 283024.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.bz1 | 283024bz1 | \([0, 1, 0, -7506032, 7912727339]\) | \(1462911232\) | \(31969587331369744\) | \([]\) | \(7354368\) | \(2.4819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283024.bz do not have complex multiplication.Modular form 283024.2.a.bz
sage: E.q_eigenform(10)