Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 3120t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3120.n1 | 3120t1 | \([0, -1, 0, -5, 45]\) | \(-4096/195\) | \(-798720\) | \([]\) | \(480\) | \(-0.18744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3120t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3120t do not have complex multiplication.Modular form 3120.2.a.t
sage: E.q_eigenform(10)