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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 353925.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
353925.b1 | 353925b1 | \([0, 0, 1, -9075, -3036344]\) | \(-4096/195\) | \(-3934941468046875\) | \([]\) | \(2741760\) | \(1.6724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 353925.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 353925.b do not have complex multiplication.Modular form 353925.2.a.b
sage: E.q_eigenform(10)