Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 10800.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10800.cd1 | 10800bb1 | \([0, 0, 0, -30, -65]\) | \(-30720\) | \(-97200\) | \([]\) | \(1440\) | \(-0.26773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10800.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10800.cd do not have complex multiplication.Modular form 10800.2.a.cd
sage: E.q_eigenform(10)