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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 290145.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.h1 | 290145h1 | \([1, 1, 1, -2209745, -2346113080]\) | \(-2385427495921/3369140625\) | \(-1685400512417431640625\) | \([]\) | \(9799680\) | \(2.7653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290145.h do not have complex multiplication.Modular form 290145.2.a.h
sage: E.q_eigenform(10)