Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3332.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3332.e1 | 3332d1 | \([0, 1, 0, 12, 20]\) | \(14000/17\) | \(-213248\) | \([]\) | \(288\) | \(-0.29133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3332.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3332.e do not have complex multiplication.Modular form 3332.2.a.e
sage: E.q_eigenform(10)