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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 116242.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.h1 | 116242b1 | \([1, 1, 0, -1134896, 464184448]\) | \(23568486981643074043/40748749519744\) | \(279495672955924096\) | \([]\) | \(2042880\) | \(2.2416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.h do not have complex multiplication.Modular form 116242.2.a.h
sage: E.q_eigenform(10)