Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 354.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
354.a1 | 354c1 | \([1, 1, 0, -715, 7069]\) | \(-40512641613625/1376352\) | \(-1376352\) | \([]\) | \(120\) | \(0.26973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 354.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 354.a do not have complex multiplication.Modular form 354.2.a.a
sage: E.q_eigenform(10)