Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1120.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1120.l1 | 1120b1 | \([0, 1, 0, -61, -245]\) | \(-6229504/1715\) | \(-7024640\) | \([]\) | \(192\) | \(0.029607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1120.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1120.l do not have complex multiplication.Modular form 1120.2.a.l
sage: E.q_eigenform(10)