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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 450840.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.m1 | 450840m1 | \([0, -1, 0, -14334496, 60413952220]\) | \(-45601559816836/194308115625\) | \(-1387976994219808886400000\) | \([]\) | \(60318720\) | \(3.3176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.m do not have complex multiplication.Modular form 450840.2.a.m
sage: E.q_eigenform(10)