Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 88200cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.dp1 | 88200cd1 | \([0, 0, 0, -12495, -1274245]\) | \(-6288640/16807\) | \(-576588478258800\) | \([]\) | \(276480\) | \(1.5198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200cd do not have complex multiplication.Modular form 88200.2.a.cd
sage: E.q_eigenform(10)