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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 71478n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.r1 | 71478n1 | \([1, -1, 0, -36747, -6610491]\) | \(-20852652111625/59864589312\) | \(-15754504104649728\) | \([]\) | \(483840\) | \(1.7950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71478n do not have complex multiplication.Modular form 71478.2.a.n
sage: E.q_eigenform(10)