Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1480a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1480.a1 | 1480a1 | \([0, 0, 0, -28, 52]\) | \(9483264/925\) | \(236800\) | \([]\) | \(448\) | \(-0.23164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1480a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1480a do not have complex multiplication.Modular form 1480.2.a.a
sage: E.q_eigenform(10)