Show commands:
SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 303450fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.fr1 | 303450fr1 | \([1, 0, 0, -241210388, 1530238381392]\) | \(-1970890451905/144027072\) | \(-113420976035753498175000000\) | \([]\) | \(126904320\) | \(3.7487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450fr do not have complex multiplication.Modular form 303450.2.a.fr
sage: E.q_eigenform(10)