Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 271950.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.q1 | 271950q1 | \([1, 1, 0, -20115, -1707075]\) | \(-178453547/143856\) | \(-725638561074000\) | \([]\) | \(1290240\) | \(1.5498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950.q do not have complex multiplication.Modular form 271950.2.a.q
sage: E.q_eigenform(10)