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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 476850h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 476850.h1 | 476850h1 | \([1, 1, 0, -2653170, -1854420300]\) | \(-684566528248637/95627575296\) | \(-288527149626236928000\) | \([]\) | \(23887872\) | \(2.6574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850h do not have complex multiplication.Modular form 476850.2.a.h
sage: E.q_eigenform(10)