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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 422370.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.h1 | 422370h1 | \([1, -1, 0, -278939115, -1831772148219]\) | \(-480024758533919772826099/12123360658206720000\) | \(-60619361320132481617920000\) | \([]\) | \(169728000\) | \(3.7313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422370.h do not have complex multiplication.Modular form 422370.2.a.h
sage: E.q_eigenform(10)