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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 239343.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
239343.h1 | 239343h1 | \([1, 0, 1, -3010387, -2014758163]\) | \(-177648558047497/420960579\) | \(-7149410531222360739\) | \([]\) | \(6829056\) | \(2.4977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 239343.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 239343.h do not have complex multiplication.Modular form 239343.2.a.h
sage: E.q_eigenform(10)