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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 348726.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 348726.h1 | 348726h1 | \([1, 1, 0, -1742554, -876956012]\) | \(4490228413743760153/53407847380608\) | \(6960164078488215168\) | \([]\) | \(9676800\) | \(2.4271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726.h do not have complex multiplication.Modular form 348726.2.a.h
sage: E.q_eigenform(10)