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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 299538v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.v1 | 299538v1 | \([1, -1, 1, -25538735, 20871329671]\) | \(4935129584625/2352135088\) | \(877981856352579674010288\) | \([]\) | \(37255680\) | \(3.2883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 299538v do not have complex multiplication.Modular form 299538.2.a.v
sage: E.q_eigenform(10)