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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 69366.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.m1 | 69366o1 | \([1, 1, 1, -28624, -1875919]\) | \(-2593675442589394177/39954816\) | \(-39954816\) | \([]\) | \(100800\) | \(1.0070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366.m do not have complex multiplication.Modular form 69366.2.a.m
sage: E.q_eigenform(10)