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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 435344.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.bz1 | 435344bz1 | \([0, 0, 0, 4127825, 81762895097]\) | \(100718081964000000/37453512751940327\) | \(-2892495238922885405224688\) | \([]\) | \(114566400\) | \(3.3728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344.bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344.bz do not have complex multiplication.Modular form 435344.2.a.bz
sage: E.q_eigenform(10)