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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 253575di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
253575.di1 | 253575di1 | \([0, 0, 1, -151410, 22678731]\) | \(-35806478336/3703\) | \(-39698993257875\) | \([]\) | \(783360\) | \(1.6419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 253575di do not have complex multiplication.Modular form 253575.2.a.di
sage: E.q_eigenform(10)