Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 364.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364.a1 | 364b1 | \([0, 1, 0, -5, 7]\) | \(-65536/91\) | \(-23296\) | \([]\) | \(24\) | \(-0.46960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364.a do not have complex multiplication.Modular form 364.2.a.a
sage: E.q_eigenform(10)