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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 100010.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100010.h1 | 100010j1 | \([1, 0, 0, -15, 5]\) | \(374805361/200020\) | \(200020\) | \([]\) | \(12384\) | \(-0.29151\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100010.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100010.h do not have complex multiplication.Modular form 100010.2.a.h
sage: E.q_eigenform(10)