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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 52272bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52272.a1 | 52272bf1 | \([0, 0, 0, -1452, 26620]\) | \(-3072\) | \(-110205266688\) | \([]\) | \(61440\) | \(0.83135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52272bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52272bf do not have complex multiplication.Modular form 52272.2.a.bf
sage: E.q_eigenform(10)