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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 6017.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6017.b1 | 6017b1 | \([0, -1, 1, -1, -136]\) | \(-262144/8008627\) | \(-8008627\) | \([]\) | \(1856\) | \(0.0035653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6017.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6017.b do not have complex multiplication.Modular form 6017.2.a.b
sage: E.q_eigenform(10)