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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 31200f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.f1 | 31200f1 | \([0, -1, 0, -2349133, -1402142363]\) | \(-22400965661211136/321826171875\) | \(-20596875000000000000\) | \([]\) | \(709632\) | \(2.5109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31200f do not have complex multiplication.Modular form 31200.2.a.f
sage: E.q_eigenform(10)