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SageMath
E = EllipticCurve("hh1")
E.isogeny_class()
Elliptic curves in class 47040.hh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.hh1 | 47040da1 | \([0, 1, 0, -65, -14337]\) | \(-392/1125\) | \(-88510464000\) | \([]\) | \(50688\) | \(0.77948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040.hh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47040.hh do not have complex multiplication.Modular form 47040.2.a.hh
sage: E.q_eigenform(10)