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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 139650.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.d1 | 139650hm1 | \([1, 1, 0, -37755, 2813175]\) | \(-404731359773/864234\) | \(-12709533233250\) | \([]\) | \(829440\) | \(1.3990\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 139650.d do not have complex multiplication.Modular form 139650.2.a.d
sage: E.q_eigenform(10)