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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 392784.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.m1 | 392784m1 | \([0, -1, 0, -172776, 27703152]\) | \(-2841976245512761/385537536\) | \(-77378925625344\) | \([]\) | \(2643840\) | \(1.6834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784.m do not have complex multiplication.Modular form 392784.2.a.m
sage: E.q_eigenform(10)