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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 122694m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.c1 | 122694m1 | \([1, 1, 0, 10295646, 11285457396]\) | \(371293/384\) | \(-124824235215395278333056\) | \([]\) | \(17297280\) | \(3.1186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122694m do not have complex multiplication.Modular form 122694.2.a.m
sage: E.q_eigenform(10)