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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 134640dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.m1 | 134640dn1 | \([0, 0, 0, 7317, 225882]\) | \(537367797/584375\) | \(-47113228800000\) | \([]\) | \(307200\) | \(1.3102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640dn do not have complex multiplication.Modular form 134640.2.a.dn
sage: E.q_eigenform(10)