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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 371280dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
371280.dc1 | 371280dc1 | \([0, 1, 0, -474696, 125726580]\) | \(-2888094474031216969/10826524800\) | \(-44345445580800\) | \([]\) | \(3386880\) | \(1.8338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 371280dc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 371280dc do not have complex multiplication.Modular form 371280.2.a.dc
sage: E.q_eigenform(10)