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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 150696.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150696.m1 | 150696k1 | \([0, 0, 0, -2853660, 1855455716]\) | \(13770918300093568000/31622653517\) | \(5901546089956608\) | \([]\) | \(1958400\) | \(2.2697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150696.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150696.m do not have complex multiplication.Modular form 150696.2.a.m
sage: E.q_eigenform(10)