Show commands:
SageMath
E = EllipticCurve("mn1")
E.isogeny_class()
Elliptic curves in class 352800mn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.mn1 | 352800mn1 | \([0, 0, 0, -33075, -4167450]\) | \(-5400/7\) | \(-5187134998080000\) | \([]\) | \(1658880\) | \(1.7085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800mn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800mn do not have complex multiplication.Modular form 352800.2.a.mn
sage: E.q_eigenform(10)