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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 122694.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 122694.h1 | 122694y1 | \([1, 1, 0, 41259, 13120749]\) | \(25943020727/262766592\) | \(-78670690856828928\) | \([]\) | \(1555200\) | \(1.9231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122694.h do not have complex multiplication.Modular form 122694.2.a.h
sage: E.q_eigenform(10)