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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1856m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1856.h1 | 1856m1 | \([0, -1, 0, 31, 1]\) | \(48668/29\) | \(-1900544\) | \([]\) | \(256\) | \(-0.10588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1856m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1856m do not have complex multiplication.Modular form 1856.2.a.m
sage: E.q_eigenform(10)