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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 145794.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.b1 | 145794bg1 | \([1, 1, 0, 23149, 48955821]\) | \(127263527/96087552\) | \(-1035748413444484608\) | \([]\) | \(1907712\) | \(2.1358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794.b do not have complex multiplication.Modular form 145794.2.a.b
sage: E.q_eigenform(10)