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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 10626h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.e1 | 10626h1 | \([1, 0, 1, -63389, 6137528]\) | \(-28167971010661685449/231722287104\) | \(-231722287104\) | \([]\) | \(34560\) | \(1.3511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10626h do not have complex multiplication.Modular form 10626.2.a.h
sage: E.q_eigenform(10)