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SageMath
E = EllipticCurve("gr1")
E.isogeny_class()
Elliptic curves in class 344850.gr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344850.gr1 | 344850gr1 | \([1, 0, 0, 4777, 606057]\) | \(272199695/3735552\) | \(-165443955916800\) | \([]\) | \(1098240\) | \(1.4090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344850.gr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344850.gr do not have complex multiplication.Modular form 344850.2.a.gr
sage: E.q_eigenform(10)