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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 433200v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.v1 | 433200v1 | \([0, -1, 0, -517433, 163137237]\) | \(-81415168/13851\) | \(-2606529990924000000\) | \([]\) | \(7464960\) | \(2.2603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200v do not have complex multiplication.Modular form 433200.2.a.v
sage: E.q_eigenform(10)