Show commands:
SageMath
E = EllipticCurve("eu1")
E.isogeny_class()
Elliptic curves in class 372645eu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372645.eu1 | 372645eu1 | \([0, 0, 1, -24843, -13752671]\) | \(-4096/195\) | \(-80725453523888355\) | \([]\) | \(5322240\) | \(1.9242\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372645eu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372645eu do not have complex multiplication.Modular form 372645.2.a.eu
sage: E.q_eigenform(10)