Show commands:
SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 365040.em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
365040.em1 | 365040em1 | \([0, 0, 0, -30927, 2181621]\) | \(-1568892672/78125\) | \(-162904803750000\) | \([]\) | \(1451520\) | \(1.4881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 365040.em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 365040.em do not have complex multiplication.Modular form 365040.2.a.em
sage: E.q_eigenform(10)