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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 10816.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10816.m1 | 10816f1 | \([0, -1, 0, -11041, -463711]\) | \(-235298/13\) | \(-8224573620224\) | \([]\) | \(21504\) | \(1.2360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10816.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10816.m do not have complex multiplication.Modular form 10816.2.a.m
sage: E.q_eigenform(10)