Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 146016.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146016.e1 | 146016a1 | \([0, 0, 0, -4056, -105456]\) | \(-13824\) | \(-533806460928\) | \([]\) | \(215424\) | \(0.99987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146016.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 146016.e do not have complex multiplication.Modular form 146016.2.a.e
sage: E.q_eigenform(10)