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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 291050.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
291050.h1 | 291050h1 | \([1, -1, 1, -405, 3097]\) | \(469097433/23284\) | \(363812500\) | \([]\) | \(499392\) | \(0.40168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 291050.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 291050.h do not have complex multiplication.Modular form 291050.2.a.h
sage: E.q_eigenform(10)