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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 97104.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.m1 | 97104bg1 | \([0, -1, 0, -173496, 28809072]\) | \(-5841725401/231336\) | \(-22871607960305664\) | \([]\) | \(829440\) | \(1.9077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 97104.m do not have complex multiplication.Modular form 97104.2.a.m
sage: E.q_eigenform(10)