Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 7448.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.n1 | 7448a1 | \([0, 0, 0, 49, 98]\) | \(21168/19\) | \(-11678464\) | \([]\) | \(1152\) | \(0.043487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448.n do not have complex multiplication.Modular form 7448.2.a.n
sage: E.q_eigenform(10)