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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 177744bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177744.a1 | 177744bh1 | \([0, -1, 0, -815365, -330418259]\) | \(-98867482624/20696067\) | \(-12549163733600514048\) | \([]\) | \(6336000\) | \(2.3864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177744bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177744bh do not have complex multiplication.Modular form 177744.2.a.bh
sage: E.q_eigenform(10)