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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 379050.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.ca1 | 379050ca1 | \([1, 1, 0, 44035, -184995]\) | \(1046297272903655/607475326752\) | \(-5482464823936800\) | \([]\) | \(2799360\) | \(1.7095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.ca do not have complex multiplication.Modular form 379050.2.a.ca
sage: E.q_eigenform(10)