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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 296208m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.m1 | 296208m1 | \([0, 0, 0, -1804049379, -29493745374654]\) | \(-16768130355156114/410338673\) | \(-15890105543948023953033216\) | \([]\) | \(146657280\) | \(3.9454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208m do not have complex multiplication.Modular form 296208.2.a.m
sage: E.q_eigenform(10)