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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2601.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2601.h1 | 2601a1 | \([1, -1, 0, -3, -4]\) | \(-459\) | \(-7803\) | \([]\) | \(144\) | \(-0.56435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2601.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2601.h do not have complex multiplication.Modular form 2601.2.a.h
sage: E.q_eigenform(10)