Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 726.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
726.e1 | 726d1 | \([1, 0, 1, -14, 20]\) | \(-2259169/324\) | \(-39204\) | \([]\) | \(96\) | \(-0.38787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 726.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 726.e do not have complex multiplication.Modular form 726.2.a.e
sage: E.q_eigenform(10)