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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 3872.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3872.m1 | 3872f1 | \([0, 0, 0, 968, 149072]\) | \(13824/1331\) | \(-9658153742336\) | \([]\) | \(11520\) | \(1.1710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3872.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3872.m do not have complex multiplication.Modular form 3872.2.a.m
sage: E.q_eigenform(10)