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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 116886.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.a1 | 116886i1 | \([1, 1, 0, -1234, 350596]\) | \(-1719624451633/439139480976\) | \(-53135877198096\) | \([]\) | \(417792\) | \(1.3129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116886.a do not have complex multiplication.Modular form 116886.2.a.a
sage: E.q_eigenform(10)