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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 95370.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95370.b1 | 95370e1 | \([1, 1, 0, -23848, -1556912]\) | \(-215038729/23760\) | \(-165743996798160\) | \([]\) | \(528768\) | \(1.4660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95370.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95370.b do not have complex multiplication.Modular form 95370.2.a.b
sage: E.q_eigenform(10)