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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 38720.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.v1 | 38720bz1 | \([0, -1, 0, -1452161, -2938364735]\) | \(-5833944216008/60897409375\) | \(-3535125723538534400000\) | \([]\) | \(1612800\) | \(2.8169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38720.v do not have complex multiplication.Modular form 38720.2.a.v
sage: E.q_eigenform(10)