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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1466.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1466.b1 | 1466b1 | \([1, -1, 1, -42, 105]\) | \(8012006001/750592\) | \(750592\) | \([]\) | \(1040\) | \(-0.13425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1466.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1466.b do not have complex multiplication.Modular form 1466.2.a.b
sage: E.q_eigenform(10)