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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 76440.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.n1 | 76440bv1 | \([0, -1, 0, -1521, -32955]\) | \(-31042794496/20596875\) | \(-258367200000\) | \([]\) | \(77760\) | \(0.89063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76440.n do not have complex multiplication.Modular form 76440.2.a.n
sage: E.q_eigenform(10)