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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 40656d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.z1 | 40656d1 | \([0, -1, 0, -200900, 35964579]\) | \(-31636584484096/1331669031\) | \(-37746126723638256\) | \([]\) | \(345600\) | \(1.9474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40656d do not have complex multiplication.Modular form 40656.2.a.d
sage: E.q_eigenform(10)