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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43560.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.d1 | 43560r1 | \([0, 0, 0, 696597, 368781743]\) | \(218902267299584/470715894135\) | \(-80385388399940160240\) | \([]\) | \(1236480\) | \(2.5037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43560.d do not have complex multiplication.Modular form 43560.2.a.d
sage: E.q_eigenform(10)