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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 110946d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.k1 | 110946d1 | \([1, 1, 0, -24409, 4087837]\) | \(-201433/792\) | \(-6324060781463832\) | \([]\) | \(743904\) | \(1.7174\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110946d do not have complex multiplication.Modular form 110946.2.a.d
sage: E.q_eigenform(10)