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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 67158.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.b1 | 67158c1 | \([1, -1, 0, 2084784, -10078991104]\) | \(37114449798004688648421/1646687160552493416448\) | \(-44460553334917322244096\) | \([]\) | \(6614400\) | \(3.0255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67158.b do not have complex multiplication.Modular form 67158.2.a.b
sage: E.q_eigenform(10)