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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 324870.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 324870.h1 | 324870h1 | \([1, 1, 0, -3109173, 2116271277]\) | \(-576599515595864089/2346319872000\) | \(-13526067144425472000\) | \([]\) | \(11612160\) | \(2.5271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 324870.h do not have complex multiplication.Modular form 324870.2.a.h
sage: E.q_eigenform(10)