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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 164730.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.b1 | 164730cy1 | \([1, 1, 0, -23848, -5926592]\) | \(-17960249684809/170673868800\) | \(-14254852196044800\) | \([]\) | \(1762560\) | \(1.7820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 164730.b do not have complex multiplication.Modular form 164730.2.a.b
sage: E.q_eigenform(10)