Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 10320.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10320.n1 | 10320t1 | \([0, -1, 0, 275, 625]\) | \(8951619584/6046875\) | \(-1548000000\) | \([]\) | \(4608\) | \(0.45204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10320.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10320.n do not have complex multiplication.Modular form 10320.2.a.n
sage: E.q_eigenform(10)