Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1960.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1960.e1 | 1960l1 | \([0, -1, 0, -800, 58780]\) | \(-196/5\) | \(-1446273274880\) | \([]\) | \(2016\) | \(1.0139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1960.e do not have complex multiplication.Modular form 1960.2.a.e
sage: E.q_eigenform(10)