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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 7350.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.x1 | 7350bb1 | \([1, 0, 1, -2710951, -6302911702]\) | \(-5591213575/40310784\) | \(-15885600931620000000000\) | \([]\) | \(665280\) | \(2.9431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.x do not have complex multiplication.Modular form 7350.2.a.x
sage: E.q_eigenform(10)