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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 116886d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.h1 | 116886d1 | \([1, 1, 0, -153188, 108094980]\) | \(-224412099736609/2722801160772\) | \(-4823608347178405092\) | \([]\) | \(4112640\) | \(2.2668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886d do not have complex multiplication.Modular form 116886.2.a.d
sage: E.q_eigenform(10)