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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 11154a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.h1 | 11154a1 | \([1, 1, 0, 1784468, -1057578608]\) | \(4558438520831/6147814464\) | \(-847528430174508303936\) | \([]\) | \(419328\) | \(2.7015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11154a do not have complex multiplication.Modular form 11154.2.a.a
sage: E.q_eigenform(10)