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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 70395.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70395.b1 | 70395h1 | \([0, -1, 1, -120, 4676]\) | \(-4096/195\) | \(-9173946795\) | \([]\) | \(85536\) | \(0.59163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70395.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70395.b do not have complex multiplication.Modular form 70395.2.a.b
sage: E.q_eigenform(10)