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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 248430.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.b1 | 248430b1 | \([1, 1, 0, -2817623, -1976782023]\) | \(-3986228107813/410062500\) | \(-254484017424358312500\) | \([]\) | \(13547520\) | \(2.6550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248430.b do not have complex multiplication.Modular form 248430.2.a.b
sage: E.q_eigenform(10)