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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 10830.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10830.m1 | 10830m1 | \([1, 0, 1, 11, 32]\) | \(463391/1440\) | \(-519840\) | \([]\) | \(1440\) | \(-0.21996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10830.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10830.m do not have complex multiplication.Modular form 10830.2.a.m
sage: E.q_eigenform(10)