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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 7098.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.b1 | 7098d1 | \([1, 1, 0, -16981799, -27096574539]\) | \(-112205650221491190337/745029571313664\) | \(-3596115440082935218176\) | \([]\) | \(799680\) | \(2.9718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7098.b do not have complex multiplication.Modular form 7098.2.a.b
sage: E.q_eigenform(10)