Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 12480e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.g1 | 12480e1 | \([0, -1, 0, -1, -5]\) | \(-4096/195\) | \(-12480\) | \([]\) | \(960\) | \(-0.53401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12480e do not have complex multiplication.Modular form 12480.2.a.e
sage: E.q_eigenform(10)