Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 329476e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329476.e1 | 329476e1 | \([0, -1, 0, -41706170, -103251323111]\) | \(373698304/1681\) | \(36088699877477384418064\) | \([]\) | \(28788480\) | \(3.1800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329476e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 329476e do not have complex multiplication.Modular form 329476.2.a.e
sage: E.q_eigenform(10)