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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 98736h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.o1 | 98736h1 | \([0, -1, 0, -25329, 4449645]\) | \(-3962770432/16495083\) | \(-7480843708048128\) | \([]\) | \(552960\) | \(1.7311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736h do not have complex multiplication.Modular form 98736.2.a.h
sage: E.q_eigenform(10)