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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 155526.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.b1 | 155526cs1 | \([1, 1, 0, -43124, 3986256]\) | \(-174676879/35328\) | \(-1793825477101056\) | \([]\) | \(1520640\) | \(1.6494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526.b do not have complex multiplication.Modular form 155526.2.a.b
sage: E.q_eigenform(10)