Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 26010.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.e1 | 26010a1 | \([1, -1, 0, -1635, -52075]\) | \(-85003587/160000\) | \(-910141920000\) | \([]\) | \(27648\) | \(0.98459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26010.e do not have complex multiplication.Modular form 26010.2.a.e
sage: E.q_eigenform(10)