Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3330e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.b1 | 3330e1 | \([1, -1, 0, -1170, -15404]\) | \(-243087455521/5328000\) | \(-3884112000\) | \([]\) | \(2688\) | \(0.62920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3330e do not have complex multiplication.Modular form 3330.2.a.e
sage: E.q_eigenform(10)