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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 15210b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.h1 | 15210b1 | \([1, -1, 0, -71265, 8620925]\) | \(-1817378667/400000\) | \(-8809891786800000\) | \([]\) | \(87360\) | \(1.7802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15210b do not have complex multiplication.Modular form 15210.2.a.b
sage: E.q_eigenform(10)