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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 443760m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.m1 | 443760m1 | \([0, -1, 0, -2986536, -121353189264]\) | \(-388982677010590321/839808000000000000\) | \(-6360289247232000000000000\) | \([]\) | \(58834944\) | \(3.4383\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760m do not have complex multiplication.Modular form 443760.2.a.m
sage: E.q_eigenform(10)