Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 20510d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20510.f1 | 20510d1 | \([1, -1, 1, -597, -5459]\) | \(23494409378721/10501120\) | \(10501120\) | \([]\) | \(15840\) | \(0.30547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20510d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20510d do not have complex multiplication.Modular form 20510.2.a.d
sage: E.q_eigenform(10)