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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 33462.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.m1 | 33462b1 | \([1, -1, 0, -135420, 19148624]\) | \(82564992800667/329832448\) | \(1097163560503296\) | \([]\) | \(190080\) | \(1.7427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33462.m do not have complex multiplication.Modular form 33462.2.a.m
sage: E.q_eigenform(10)