Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7350a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.j1 | 7350a1 | \([1, 1, 0, -44125, -3627875]\) | \(-105484561/1440\) | \(-129708022500000\) | \([]\) | \(40320\) | \(1.5149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350a do not have complex multiplication.Modular form 7350.2.a.a
sage: E.q_eigenform(10)