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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 151838h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151838.b1 | 151838h1 | \([1, 0, 1, -3384, -71622]\) | \(4826809/316\) | \(280451163196\) | \([]\) | \(230400\) | \(0.94643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151838h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151838h do not have complex multiplication.Modular form 151838.2.a.h
sage: E.q_eigenform(10)