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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 26010.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.m1 | 26010p1 | \([1, -1, 0, 5953635, -28687300475]\) | \(4589352212399/72559411200\) | \(-368988345540281500876800\) | \([]\) | \(3015936\) | \(3.2027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26010.m do not have complex multiplication.Modular form 26010.2.a.m
sage: E.q_eigenform(10)