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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 103056.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.h1 | 103056b1 | \([0, -1, 0, -51761, -9006003]\) | \(-59910109247140864/102724634117619\) | \(-26297506334110464\) | \([]\) | \(494592\) | \(1.8413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103056.h do not have complex multiplication.Modular form 103056.2.a.h
sage: E.q_eigenform(10)