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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 418950dm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.dm1 | 418950dm1 | \([1, -1, 0, 435258, -526875084]\) | \(272199695/3735552\) | \(-125149923763200000000\) | \([]\) | \(11796480\) | \(2.5371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950dm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950dm do not have complex multiplication.Modular form 418950.2.a.dm
sage: E.q_eigenform(10)