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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 346560m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.m1 | 346560m1 | \([0, -1, 0, -481, -6719]\) | \(-1042568/1125\) | \(-13307904000\) | \([]\) | \(248832\) | \(0.63752\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 346560m do not have complex multiplication.Modular form 346560.2.a.m
sage: E.q_eigenform(10)