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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 250173.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.v1 | 250173v1 | \([0, 0, 1, -5144250, -4489265228]\) | \(1216000000000/505197\) | \(6254852876167952133\) | \([]\) | \(4727808\) | \(2.5685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.v do not have complex multiplication.Modular form 250173.2.a.v
sage: E.q_eigenform(10)