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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 7448.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.v1 | 7448v1 | \([0, -1, 0, -1465, -22707]\) | \(-27739393024/2476099\) | \(-31060185856\) | \([]\) | \(6000\) | \(0.75674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7448.v do not have complex multiplication.Modular form 7448.2.a.v
sage: E.q_eigenform(10)