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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 86394h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 86394.l1 | 86394h1 | \([1, 1, 0, -15875807, 20192430867]\) | \(2064380297174770201/372414352163994\) | \(79830323798213682330714\) | \([]\) | \(11309760\) | \(3.1135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394h do not have complex multiplication.Modular form 86394.2.a.h
sage: E.q_eigenform(10)