Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 40362m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 40362.p1 | 40362m1 | \([1, 0, 1, 13073904, 218683462366]\) | \(289765104938375/24390120480768\) | \(-20802115160153201208434688\) | \([]\) | \(7979400\) | \(3.5376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40362m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40362m do not have complex multiplication.Modular form 40362.2.a.m
sage: E.q_eigenform(10)