Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8036e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8036.e1 | 8036e1 | \([0, 1, 0, -24810, -1506583]\) | \(373698304/1681\) | \(7597454297104\) | \([]\) | \(17136\) | \(1.3232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8036e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8036e do not have complex multiplication.Modular form 8036.2.a.e
sage: E.q_eigenform(10)