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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 464163.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
464163.m1 | 464163m1 | \([0, -1, 1, -92576, 12682379]\) | \(-98867482624/20696067\) | \(-18367835644722627\) | \([]\) | \(8892000\) | \(1.8425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 464163.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 464163.m do not have complex multiplication.Modular form 464163.2.a.m
sage: E.q_eigenform(10)