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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 141570dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.c1 | 141570dn1 | \([1, -1, 0, 1390680, -550618304]\) | \(3372036481719478199/3434349802291200\) | \(-302940561710304460800\) | \([]\) | \(5612544\) | \(2.6169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570dn do not have complex multiplication.Modular form 141570.2.a.dn
sage: E.q_eigenform(10)