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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 8470bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8470.q1 | 8470bh1 | \([1, -1, 1, -12, 399]\) | \(-1459161/560000\) | \(-67760000\) | \([]\) | \(5376\) | \(0.18177\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8470bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8470bh do not have complex multiplication.Modular form 8470.2.a.bh
sage: E.q_eigenform(10)