Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 26775.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.q1 | 26775q1 | \([1, -1, 1, 2320, -16928]\) | \(179685/119\) | \(-914951953125\) | \([]\) | \(28800\) | \(0.98396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.q do not have complex multiplication.Modular form 26775.2.a.q
sage: E.q_eigenform(10)