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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 40560.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40560.d1 | 40560c1 | \([0, -1, 0, -27096, 2774160]\) | \(-1316978/1215\) | \(-2029799067678720\) | \([]\) | \(224640\) | \(1.6339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40560.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40560.d do not have complex multiplication.Modular form 40560.2.a.d
sage: E.q_eigenform(10)