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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 66270.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66270.h1 | 66270g1 | \([1, 1, 0, -47081567, -75997035531]\) | \(484722957959161/175781250000\) | \(4185577733512675781250000\) | \([]\) | \(20646912\) | \(3.4250\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66270.h do not have complex multiplication.Modular form 66270.2.a.h
sage: E.q_eigenform(10)