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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 122199.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122199.h1 | 122199g1 | \([1, 1, 0, -1812629, 941595378]\) | \(-365679263951/1369599\) | \(-2466856883987063337\) | \([]\) | \(2146176\) | \(2.3889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122199.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122199.h do not have complex multiplication.Modular form 122199.2.a.h
sage: E.q_eigenform(10)