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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 7605.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7605.n1 | 7605u1 | \([0, 0, 1, 52728, -6219158]\) | \(2097152/3375\) | \(-26091045144844875\) | \([]\) | \(44928\) | \(1.8352\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7605.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7605.n do not have complex multiplication.Modular form 7605.2.a.n
sage: E.q_eigenform(10)