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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 41405.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41405.d1 | 41405p1 | \([1, -1, 1, 813, -107376]\) | \(251559/21125\) | \(-4996350666125\) | \([]\) | \(120960\) | \(1.1161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41405.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41405.d do not have complex multiplication.Modular form 41405.2.a.d
sage: E.q_eigenform(10)