Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 944e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
944.a1 | 944e1 | \([0, 0, 0, -19, 34]\) | \(-740772/59\) | \(-60416\) | \([]\) | \(224\) | \(-0.33582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 944e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 944e do not have complex multiplication.Modular form 944.2.a.e
sage: E.q_eigenform(10)