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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 105222.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 105222.h1 | 105222e1 | \([1, 1, 1, -78672445, -338839860571]\) | \(-53850737433335065447138796881/18425761494880921390785186\) | \(-18425761494880921390785186\) | \([]\) | \(25872000\) | \(3.5596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105222.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105222.h do not have complex multiplication.Modular form 105222.2.a.h
sage: E.q_eigenform(10)