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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 36094.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36094.b1 | 36094c1 | \([1, -1, 1, -162, 1185]\) | \(-467469252081/295682048\) | \(-295682048\) | \([]\) | \(81760\) | \(0.32690\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36094.b1 has rank \(3\).
Complex multiplication
The elliptic curves in class 36094.b do not have complex multiplication.Modular form 36094.2.a.b
sage: E.q_eigenform(10)