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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8036.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8036.b1 | 8036c1 | \([0, -1, 0, -1486, 11789]\) | \(3937024/1681\) | \(155050087696\) | \([]\) | \(4032\) | \(0.84380\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8036.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8036.b do not have complex multiplication.Modular form 8036.2.a.b
sage: E.q_eigenform(10)